{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Hierarchical Clustering\n",
    "(This section of the notebook is largely taken from [dashee87](https://github.com/dashee87))\n",
    "\n",
    "This notebook will start by covering how Hierarchical works, how to use Hierarchical clustering in Python and some strengths and weaknesses of Hierarchical clustering. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What is Hierarchical Clustering"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![hierarchicalgif](images/hierarchicalClustering.gif)\n",
    "\n",
    "Unlike k-means, hierarchical clustering doesn't require the user to specify the number of clusters beforehand. Instead it returns an output, from which the user can decide the appropriate number of clusters (either manually or algorithmically. If done manually, the user may cut the dendrogram (a graph that displays all of these links in their hierarchical structure) where the merged clusters are too far apart (represented by a long lines in the dendrogram). Alternatively, the user can just return a specific number of clusters (similar to k-means)\n",
    "\n",
    "As its name suggests, it constructs a hierarchy of clusters based on proximity (e.g Euclidean distance or Manhattan distance- see GIF below). HC typically comes in two flavours (essentially, bottom up or top down): \n",
    "\n",
    "* Divisive: Starts with the entire dataset comprising one cluster that is iteratively split- one point at a time- until each point forms its own cluster.\n",
    "* Agglomerative: The agglomerative method in reverse- individual points are iteratively combined until all points belong to the same cluster.\n",
    "\n",
    "Another important concept in HC is the linkage criterion. This defines the distance between clusters as a function of the points in each cluster and determines which clusters are merged/split at each step. That clumsy sentence is neatly illustrated in the GIF below.\n",
    "\n",
    "![title](images/euclideanDistance.gif)\n",
    "\n",
    "Here is roughly how Hierarchical clustering works: \n",
    "1. Create a cluster for each point, containing only that point. \n",
    "2. Choose the two clusters with centroids closest to each other.\n",
    "    * Combine the two clusters into a new cluster that replaces the two individual clusters. (Create a new parent node.)\n",
    "3. Repeat Step 2 until only one cluster remains."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Comparing Clustering Algorithms\n",
    "\n",
    "* K-means\n",
    "  * Centroid based clustering algorithm (K-means seeks to minimize the sum of squares of each point about its cluster centroid).\n",
    "  * find k clusters (k is user-specified), each distributed around a single point (called a centroid, an imaginary “center point” or the cluster’s “center of mass”)\n",
    "  - Assumes clusters are isotropic (circular/spherical distribution).\n",
    "- Hierarchical clustering\n",
    "  - Builds hierarchies of clusters\n",
    "  - Hierarchical clustering works well for non-spherical clusters.\n",
    "  - May be computationally expensive.\n",
    "  - Guaranteed to converge to the same solution (no random initialization)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "# For scaling data\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "# Dataset import\n",
    "from sklearn.datasets import load_iris\n",
    "\n",
    "# Model imports\n",
    "from sklearn.cluster import KMeans\n",
    "from scipy.cluster.hierarchy import dendrogram, linkage\n",
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.neighbors import kneighbors_graph\n",
    "\n",
    "from sklearn import metrics\n",
    "from sklearn.metrics import silhouette_score\n",
    "from sklearn import cluster, datasets\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Create Data\n",
    "You can ignore how these datasets are created since they are just used for illustrative purposes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(844)\n",
    "clust1 = np.random.normal(5, 2, (1000,2))\n",
    "clust2 = np.random.normal(15, 3, (1000,2))\n",
    "clust3 = np.random.multivariate_normal([17,3], [[1,0],[0,1]], 1000)\n",
    "clust4 = np.random.multivariate_normal([2,16], [[1,0],[0,1]], 1000)\n",
    "dataset1 = np.concatenate((clust1, clust2, clust3, clust4))\n",
    "\n",
    "# we take the first array as the second array has the cluster labels\n",
    "dataset2 = datasets.make_circles(n_samples=1000, factor=.5, noise=.05)[0]\n",
    "\n",
    "# plot clustering output on the two datasets\n",
    "def cluster_plots(set1, set2, colours1 = 'gray', colours2 = 'gray', \n",
    "                  title1 = 'Dataset 1',  title2 = 'Dataset 2'):\n",
    "    fig,(ax1,ax2) = plt.subplots(1, 2)\n",
    "    fig.set_size_inches(6, 3)\n",
    "    ax1.set_title(title1,fontsize=14)\n",
    "    ax1.set_xlim(min(set1[:,0]), max(set1[:,0]))\n",
    "    ax1.set_ylim(min(set1[:,1]), max(set1[:,1]))\n",
    "    ax1.scatter(set1[:, 0], set1[:, 1],s=8,lw=0,c= colours1)\n",
    "    ax2.set_title(title2,fontsize=14)\n",
    "    ax2.set_xlim(min(set2[:,0]), max(set2[:,0]))\n",
    "    ax2.set_ylim(min(set2[:,1]), max(set2[:,1]))\n",
    "    ax2.scatter(set2[:, 0], set2[:, 1],s=8,lw=0,c=colours2)\n",
    "    fig.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "cluster_plots(dataset1, dataset2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dataset 1\n",
      "Cluster 0: 990\n",
      "Cluster 1: 1008\n",
      "Cluster 2: 1002\n",
      "Cluster 3: 1000\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# implementing agglomerative (bottom up) hierarchical clustering\n",
    "# we're going to specify that we want 4 and 2 clusters, respectively\n",
    "hc_dataset1 = cluster.AgglomerativeClustering(n_clusters=4, affinity='euclidean', \n",
    "                                              linkage='ward').fit_predict(dataset1)\n",
    "hc_dataset2 = cluster.AgglomerativeClustering(n_clusters=2, affinity='euclidean', \n",
    "                                              linkage='average').fit_predict(dataset2)\n",
    "print(\"Dataset 1\")\n",
    "print(*[\"Cluster \"+str(i)+\": \"+ str(sum(hc_dataset1==i)) for i in range(4)], sep='\\n')\n",
    "cluster_plots(dataset1, dataset2, hc_dataset1, hc_dataset2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You might notice that HC didn't perform so well on the circles. By imposing simple connectivity constraints (points can only cluster with their n(=5) nearest neighbours), HC captures the non-globular structures within the dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/michaelgalarnyk/opt/anaconda3/lib/python3.9/site-packages/sklearn/cluster/_agglomerative.py:501: UserWarning: the number of connected components of the connectivity matrix is 2 > 1. Completing it to avoid stopping the tree early.\n",
      "  connectivity, n_connected_components = _fix_connectivity(\n"
     ]
    },
    {
     "data": {
      "image/png": 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Nayduce34LVvGqDO7LiKSvD0D7wXRtegAOuXrzePbT4kKi+aLeuO4d+khAF7ZPXH3SU7Unrt4ToTVBubq5ULNNlVp1K0OMRGx9Cg5iNYen3D5sKKmNOgMPLrx+F/dpzcRGSWgUst0mSqFhZRyrpSykpSykq/v2+f/n4BdSw7wRd1x9K7wZQqDbFJc2H+FBaOW89cvW9g0e6etvFabqhSpXIiYiFji9UrOtLgoHRazhSKVCjK21Q/89OkcdizczyfjPsDdx5VWfRvj7e9ha2PQnE/ZuXg/Bl08u5cdBCA2Ita23y+vTzJhlIAuYz8gRyF/3nm/CtMOTeCd1lUAOLjmGFJKDq09DsDkLtPpWmQA3YsNRBer/+c3KwsJyBpHqeDrFpMY3XIy37Sb+rf15o9czrb5e/jhkxlEh8cA4OLhTLshLYi2jiOT0ax84k3kKpKDQ6uO8+ughQyrN44mPetRpFJBfHJ60W3iRyCVv6No5YK4+7rx+NZTgh6GcHb3JaJCorGYE52cUlMBajQa2g9tiW9ub/pN787YNV/g4evO/csPeXjtMboYPae2nycmMpaPcveie/FBzB+5PO1u3BuAjBJQASi0/AnIRWJ65P8kosOUAWKMN6GLSf7yfnInkCHvjmFyl+n45fHB1dMZtUZNwXL5ktXbvTTRO8k/v5Jl2juHJ17ZPVFrFGOrs5sTnUe3Z03QAvrN6EH5eqUBRZWYp1guun37EYUrFqDz6HYAjPtrGBUalMEvrw+t+zXByVWxUT17EEz34gP5tPQQfHN7s/jmDMatHZbMQaLHpE6Url2cz6Z+jC5GZ5uphj4Ntxmjs/CvkDWOUkHCWErtGds0Zye9K37JvhVHbKqz3MVy4ujiYKsT8jiUGydvA6C11+Luo9h+C5bNh5Ob8vzbO9nj6OLIrJOT+fPRb5SvW4oCZfMC0KDLu1RvUYkarSpTuXE5arerRq4iORj02+fkKpqDguXyJXPS2DR7B228uzJnyCI+/aELyx/MoV7HWrb9xasXoUWv96jStDzNPm/I1nm7bdd4bk/SDPP/AbxMsNTLfFByjqSaqwUl99E2lBlgNZSEWm9dgGHg/SA59v3v5e9f/ZGs/M6F+/LDnJ/Kz8oNlZGhUVJKKU1Gk9w4e4c8sv5kinbmj/xDNhDtZAPRTo5q/p3slL+33Dh7R4p6Oxbtk43tPpSjW02WUkr5+PZTGRMRI6WU8vb5e/LM7ovJ6l86fE0+vB4gwwLDpTHe+MLraOLwke38UeHRUkop/5q+xVa2a+kBaYw3ynUztspDfx1PtQ2z2Sx7V/pSNhDt5Hcdp73wXIH3g+SupQdkbNQ/D3zMSJDOgbpZ40jBzsX75YjGE+T5fZeTlS8eu1I2d+kkF49daSt7dPOJXPH9evnkbmCKdtr6dpMNRDvZMV8v2afSl7J3pS9l4P1nyeqYjCb5Rf1xsqnjR/LgmmPSoDPI+1cfSYvFIk1Gkzy68ZR8ei/xmJjIWHli61kZFR4twwLDX3gNh9adsI2Zjwv3s52rV8VhsoFoJ5s5dZRSSvngWoBc/t1fqfZfSiWwt4l9B9nU8SN54cDlVOtIKeXpneflmV0XXrj/dcLLjqO0cjP/EyW1s48QIgAYi5LdESnlHGArimvsbRT32G5pcd7XDX9N22J1Uz1FnQ9rULBsPgBWfL+e0CfhhD4J58bJ21RuXB6EMuO7cuQ6p3ec58PhrcmW15et83Zz4/Qd3Lxd0cXoOLFF8SLetWQ/LXq9x9JvVnN653k+m/Ix731Sh4Yfv4uwKrJzFPS39SXh3NdP3sLdx43LR67zwycz0dprmXfpRzyzeTCxw89cPHiVgbM/5Z1WippOSokp3mRrRwjBzP7z2TBrO17+HhQom5d8pXIzrs0UW99mn/khRbCwSqVixvHviAyJ4sbJOzy5E5isfwkYXHs0wY9Cqda8AqNXDcXOwS5N/os3EVnjKBHT+8xDH2cgJjyWGccnAYrTwKqpGzDExbNx9g4+HvcBANJi4dmDIBaNXkGhcvlpN7QFsZFxzB22lOwF/dHF6Al6EELQA8UWe37fFSo10jK1+yzcvF0Z+ntvpuwei5TSNpbyFs8FgFqjpnqLSsRF6zi39xIlqhfh6+aTuHz4OpUbl+O7raMIuP2UkY0n4urpwuSdo3H1VBLUhj4OtV2PEILwoEj6VPySiGeRZC/gR/PP3+PI+pNM6zWXiKBIjm44abvWpChRvSirg+YT/iyCh1cfpxp8fGr7OUY2/Q6AkcsHpnBselORVl58H/2f/RLomxbnep1R8b2ybJq9A788Pvjk8raVBz1MNFInqOkOrDzKglGJ+uSDa4/TZWx7ZvVfgJSSd1pX4cSWMwDYOdrRoncjYiJiWfLNKkBxXx2/frhtQKWG3csO8v3HM7B3tKPNoGYAGA1G4qJ03Dh9mwOrjgLw+/BlNgElhOCrPwby56S/aNW3MS7uzjZVXURwFN+s+5JBNb/m1tl7gKISSVCDJMBsMhP0KATf3D5M7f4rp7adR61Vo7XXMnReL+p8+I6tboKe/viWs3QvPog556bg4uH8srf8rULWOEpE1eYVOLDqGKWT2G4igiIxxMUDJOOnm9ZrLhcPXAVg7/LDHNlwkpI1irFt/h4AWvZpxMZfdwCQq0h2Kjcux87FBzi94wIA9TrWomrTCn87lr5uPolLh65Ro1VlW8BuhPX7px6zeXo3iKcEcXT9SRp1qwdAs88acvnoDYLuBzNmzRfcOnuPkMdhgOK6XrZuKfpVGWE7h5tPyrCSqLBopEUSEx5Ln0rD0UXrsXeyJ0fBbEzdOw43b+UYsynR3vVdx1+4ffYen/7Q5f/f6NccWRGWaYjy9UtR+4Ma7Fl2kOENxzPr5GTUGjVBD5WZm18eH7z8PQHIXtAfjVaNyWgGIDI4ipn95pO3ZC4eXAmgfP3SNOlZn4v7r9BmcHO8s3sipaR6y0qc2XmBd9vX+L/9CX0SDoBBF0+NVpXxyu6Jdw4vClcowINrAQghkFJStk7ymNC6Hd6hbodEIVK4Qn7O7b2MEEpbrl7KDDF/6TyMXjUkxcpodKvvObXtHGXfLcEF64vDbDRjNprZs/xQMgH14/5vmNFvPmd2XuDZg2CePQj+zwqoLCSiy9gPuHb8FqunbsQvtw+t+zfh0Y1Ec1u15hVtv/MUy2kTUABXjtwg/FkkWnstzu5OtB3SAi9/T9y8XWjRuxEAVZqUZ+3Pm3H1cqFo5f8fd5QgWEKfhDFu3ZccWXeSOh8qYzB3sRxcOnQNlVpFmTolbcdotBpG/THItm3vZIdKJbBYJO4+bji6ONjeAe2/aEmXse2TnfPBtQD6V/0Ks8mMXx4fdNGKrdoQZ+DepYdcO36Tqs0q2u7H+A3D+bbDzxh08Vw8dO2l7vPrjiwBlYaYPXgxe6zecHcvPEAXo8fFwxmzSRFCSV+8xasWpv0XLbl17h5nd1/EYp0BvdO6KlP3jiNeb2Rq91/x8vewCQQhBOPXD3/p/rw/sCkqtQrfXF4Uq1KYYlUK2/blLZ6LWacmExEc9X/5+UatGMy66VspWaMorp4ujF07jIsHrlK6VjGc3VMKk4Q4q6BHiSoOjb0GJ1dHnFwciTcYsbNXVBQ5C2Vn+OJ+zBuxjDxFc9pUk1n470IXo2Ng9VHERsUBcOXodVr3b4LJmKh69k2ioej4dVtCn4QTF63jwv4rAATefcbvV37GN7cPB1cf49imU7w/oJntmAJl8rI68PeX7tM364ZxaO0J6neuRc5C2cnz1fu2fQNmfUrlxuXJXzoP2fNne2EbLu7OTNr+NRcPXKVVv8Z4ZvNg9tkpRIVGp+rl9/BqgM2BKmF1J1QCRxcHXL1c0McaktWv3qISI5YNYP/KI7Qb0uKlr+11RpaASkMY9Yr6Qa1V0296d5tASnADj7fu18cZuH3uLn9OUgL96nz4DgdXH8VikTg62+Ph686yCWs4t0cJ4nvvkzr/iJjSzl5L+6EvflALV3i5lBjuPm50Hd/Btu3k6phsBvs8vlo2gH0rjtCqXxPuXnzATz1nYzKYiDJEs/fPw9y59IA5Z36weQB6ZvPgy4X9ALhx+g5ndl6gUbe6eGf3fKn+ZeHtgsVssU3qchXJTtcJyrMXF5kY55QQ8xT+LIIVk9ZxbNNpAKq1qMjxTWdQadQ4uTnh4GTPotErCA4IZdGYFdTvVIt/gvyl85K/dN5U96k1amq+/3KEHs8TKucrmfuFdWu0qkzHkW2I1xv58MuWfP/JLE7vOE9clI64KB0TO/yMPk5Po671bMfUfL8qNd+vipSSrb/vQa1R0ahr3Ze8ytcPWQIqDbB47EoeXn9M1/EfUqRyIYpXK0yhcvkx6AzcOHWHhl1qs+33vTTqVo/Qp+H0rjCMyJAo7B3tiNfHU7NNFdoMasbTO4G8a1UbVGtekQ0zt+Hp7/HG5Vaq3Li84ggCFCqXjwv7L3Pr7D0eXg0A4MHlR5zZdZGqTSskO05KyYj3JhATEcu14zeZsHFEiraz8Pbi2YNgfvtiMQXK5OPHA99w8/RdGnSpjYOTPU/vPcPFw4k8xXOii9FTuXE5Ns3ZyfQ+8/Dwcwdhnegs6seJLWfJXSynbYJTv3Nt1v68mQada2fyFb4a1Bq1Em9lRY/vOhIRFElkcBTBAYp2Ys6QJckEVAIOrDrKz5/NAcDN25XqLSplTKfTGFkC6l/izoX7LJuwBlDohXr/3BVdrJ4Dq4+xdd4uzu6+RIUGpdkUswxQ2CPCn0UCij0HFH694lULU7xqogquUPn8rH42P4OvJu2h1qgZsWQAAGNafc+xTadx8XBOEdP15E4gvrm9cfNxJSYiFg9fhRLmwoErRIXGUKtNFuXc246VP2zg0NoTHFp7glrtqtH884bcv/KIK0euM3vwIgy6eEavGkLtdgqbfsK4iwhSxpNarcLV0yWFIOrxXUd6fNcxYy8mHVCofH5mn/mB4IBQPi09mNhIHVWalE9WRxejIzosBndfN4QQCKEkPTToDBxYdYyilQuSt8SLV22vG7IE1CvAYrGwc/EBnN0cqdW2Gg+vP8bV04VcRbITeC+I8vWVINip3WdxcPVxNFolWDbBSQKUiPLOo9tx+9w9zuy6gIOzA3mKp8pW89Zh/IbhxMXomPjBT/SrMoImPepzft9lXD2cObb5DKVqFqP7tx05vvEUuYpl58rRGwyr9w1SSr5Y0CeZquLktnOEP4ug4cfv/uf5yt5EBD0K4cCqY1RvWQmfnF48vRNI+fql2TpvN7mKZMcvjw8hT8LoV2WEbSIHycfSJ998iBCCZw+CuXz4OqVqFsuMS8lw+ObyZn34Es7tvcSUrrMY1vAbfHJ4EREUyb3Ljwh9HMbguZ/TfmgL4mJ0RIVGM3vwYrbM3YWzuxMrn8zF3lFhY9fF6Ni5+ADFqhSiaOVCmXxlKZEloF4AY7yRyV1m8OR2IMOX9CdfydzsWnKAH3v8CsD7A5qybvpWfHN589uFqWjsNDg6OzB32BIOrlaofkxGM/ZO9vSZlhiuIoTgk28+BBQXUo1WY2NreBtwdMMpAm4+oWXfRiwdt5rHdwLp+0t3m1E7+GEIp7afB2Dtz5vRxeixc1AcJq6fvM3ED39SGvoDnN2dEgJUk7kA3zp7l1HNlJiPeF28zTMrC68nrp24xc+fzaFIxYIM+b0XKpWKbzv8zNVjN9n2+260DlruXnjAB1+0ZF3YQuwc7YgJj2VgjVHJhFOhcvlo1S8xX1KOgv6MWDoAKSWhT8LweotslroYHRtm7SB/6TzkLJyd375YTJGKBekyJtHT7+iGUwQHhNrUfUmx8dcd3Dl/H4DNc3Zh76TEF0pLcmas375Yypa5u3BwsmfFk7k4uzml30X9A2RNPV+AW2fvcXD1MW6fu8euxfsB5YUJoFIJQp4obqchj8PQxehxdFaoU45sUPLJJLx0DXEGAm6lTjbt5uX6VgmngJtPGNdmCvOGL2PWgAWsmrqRI+tOsn7GNlud3MVy8l7XOhQsl4+abaqiUgnqflQTz2zumIwmVOrERzI2UvHiUmtUvPdJHVu51l5rq2expEpFl4XXCFt+28W9Sw/ZsWgfT62pJxLGkpObI4+uK+7j9648wtHFEbVazd2LD2yrpYQ4uyd3g4iLSkkIK4TAJ6f3W7WSXjZ+DfO/+oMxLSezeMxKjm86w5Jxq3hyJ9BWp2nP+hSukJ9abauRs5A/rp7ONOjyLmqNmid3niVrLyF+rGiVQrbVE4CDs/JbY6/BmCRA/3XB2/OP/gvcPnePD3N8Su+KXxJjJUstWDYv5euXJlteX7xzeNLSrQsbZm5jyp6xzDr1Pb1/+oT3+zdh+JL+xEbG2QZeAh/dwNmf0aBLbTx83fh14ML/BMmjo6ujjeMsb4nc5CqSHa29lgoNStvqqFQqhi3oy5yzU/hyUT+2G1fy+dSPFbuchLJ1S+KXR1ltJahIVRo1Q94dYyP4zFcyN9OPfUue4jmTZSrNQuZj/sjltHDpzB8T19rKGnSpjU9OL95pXZkFo/6kmVNHqjaryDfrvuS7baMYuXwgrfo25vMpXbh8+Br6OANlapegUfd6VG9ZiSHzelG8WmEMOgOd8/f5vxkA3gZ4WkmdndycqNSoLGqNmkLl8ycjb85fOi+/nv6BMauHsujmDNaGLCRfydyYTWZ00Tpa9m2UIvj49tl7Nu9hgE+/70z37zpiiIvn01JDCHoUwuuELAEFHNt4mrDACG6fu8dNa/4We0d7ftg1hmX3fuXORSWm6fy+K2TL64tao+LT0kPZt+II8fp4Pi/7BT1KDubm2bssGr2CK4evo7HT8MWCPjaBt+ePgzY387cV3tk9+e3CVH4+NIF2Q1ow/+o01kcspmLDsi88RgiBq6cLvX/qStVmFeg19RM8s3kAkC2fL636NcGoN3Lp0DVbjAtA7qI5bTPv8/sup+t1ZeHlsXPxfvRxBnYuTkx4Wa5uKf589BujVgzm4OpjxOuNHN1wkhqtKrP2p81803Yq0eExzB+5nMG1xzC29fec3HaO3UsOcO/iAyo0KEOTHvUxG83oYw1s+31PJl5hxqDdkBb8dGA8v52fQqOuddkYtYRfT3//t1RgQgia9KhHnQ7v0KpvYxp2edemIu84sg3++f2IDo9h7c+bbMeoNWo0Wg1Gg5GIoEjuX369hH+WDQp4r2sdLhy4gruPK/tXHOHUtnP0nNzJxgjeZmAzntwOpGilgmQvkI3Nv+2yqZ+uHL2BlBKjwcjDawE8uq7kbLl44Cr1PqpJyz6N+euXLQQ/CuXAqmOppp5+m+Cfzw//fAqzukqlws7+5eZAbQY1s9ExjVoxmAMrj5KraA7mfbkUZ3cnCpTJmyxlvZOrI4N++5zTO8/ziZWTLQuZj67jP2TT7B1UblKB8R/8yHsf17HFzGnttPT4riNHN57io6/aAIqzC8CJLWdt9EXPHoRw+dA1zCYzgfeDeXY/mPqda7Pkm1WEBISxcfZOev3UNVOuLyNRulZx2++X5ah083Zl1PJBtu2xa78g5HEYkcFRxEXF4ebtSruhLZMd07RnPR5eC8DV05mK7716vGV6IktAofB6Tdkzlg0ztzNr4AIAXDyd6TiyDUIIshfIRpcx7Sn5TlEA6nWsydVjN9DaaShcqQD3Lj7gnTbVaNCpNuGBkdw6e4eOI5VI86af1mf7wr0Ab1w8U2Yhe/5sdBjxPnOGLLLp0hv3qGcL3kxA0571adqzPj/2+JUTW8/Sc3Jnjm48hVEfz3td61KzTVXUanVmXMJ/Fk161Kdx93p8VnYo9y8/4vzeS0w/NolchbMDUKN1FSo0LGNLffH51I9ZNXUjtdtV59yeizi5OdF3eje8/D0IexZBzkLZbUTEjbvVY9mENZSrW/KF589CciQEELdw7Yw+1kD+0nkoW6dkMmJcZ3dnhv6uJFr8tNQQnNwcaTekBetnbqNwhQI07Vn/hUHK6Q2RsAR8HVGpUiV5+vTpdD/Pb18s4a9pm6nfuTYHVh3FaDAhpUSlEnT7tiMntpzh8uHrVGtRkQkbEoNHo8NjaOvTHSkl735Qna9XDEm1fV2sHqTE0eXtcYjICNw6e5fvOk5DqASPrj/BJ6cXC29Mx8Ep0ciri9XT0lUhxcxbMjcPriSqKDp93TYZA0ZaQAhxRkr5RkU9ZtQ4Cg+KZFDNr4kOi6Hie2XZv+KIbZ+HrxuD5/VifLsfMZvMjN8wPFnw6KopG5g3XIkV/H7XGCrUL52ifYCI4EjcvF3fKoeIjMCiMSvYsXAfJqOJiKAoPvyyFT0nd05WZ+3Pm5kzdDEA2Qtks9nVtXYa5l+dRvYCL6ZxelW87DjK+pdRoq4tFsnlw9dZcP0X1FbjvMUi2ffnYcICIwAIexqR7DgnV0fylVKC3opXLfLC9h2dHbKE0z9A4QoFWHh9OqXeUVQdYYER6K2ZeVf/uImepQZzbONp2g9tQZ7iOWk7uDkefm624xPINbOQMbh5+g5PbgcSHRZDoXL56Tr+Q9u+iOAozu25ZFsFh1vHVAIKVyyARqvG1UuJK3wRPHzds4TTP0DX8R1YdHM6sVa6qKf3ggCIjYzlqyYTGVp3LGXeLUGJ6kWo1KhssjQ+JqM50+zn/1kV34mtZ9m1ZD+t+zWh5+RObJy9g/cHNCNbHl9qtanKiW3n8MrmzsfjPiBn4ewc/usEdT96J1kbao2amScnExEUiV9un0y6krcfPSZ1JCI4kuwFsuHh6w7AsgmriYvSsfL79fx2fipNP2vIhA9+pEDZfDi7O3Hz9B1qtauWyT1/+2E2mVkwcjm6GD2fTOhAw4/fJSo0mvc+eRd9nIFtC/cRGxFLsaqF6Ty6HUUqFSQ2Mo5G3ZPzw5WvV5rlj37DzkH72sXivC2wd7Tny8V92TJnF80+awjAyW3nbWlHrh2/xS9HvuWvX7aw7pctfDTyfQ6uPo5vbm9yFn7xpCE98Z8SUCajCY1Ww5M7gXzXcRpxUTrO7b1M0UoF+XJRP3IU9CcmIpZ9VtVEmdrFeae1kifpRaSOdvbaLOGUzrhy9AbHNioqqlI1i5OnWA7yFM/FvYsPaGB1Ojmw6ih3LzxIdtzmOTsp9c5/g10gI2GxWJBSolarWTp+NaumbgTgwv4rVG1WgWEL+yKEYOUPG3hmnam36tMYdx83GnZ5sZOQp597hvT/v4zdSw9yfv8V7l1+yJqgBcSEx+Du64rWXkvlJuUAWPPTJoIfhbJhxnZio+IIuPmEa8dvJXPayCj8Z9bKU7rPoon9Rywc/Sf9q4+0BfxFhURzavt5fuw5G1ACCN/9oDouHs406PziwXRo7XFmDViQahR3FtIWLh7ONnWDi4cTXzX5lusnbmHQxbN13m4MOgO121UjX8nclK1TggoNyuDk6kjt9tUzuedvH549COaj3L1on60nf3y71hbvpFIJHl5/zOofNyUyizevgF8eHwqUzUuJ6qmrwPVxBuaPXM5f07Zk2DX8l+HiqWRYcPZw5tT2c0zv+zuRwdGEBISxe6mSKqjNwGb45vLmvW518PB1o3CF/BQom+UkkQJpadxt7fkJsZFxODjb2/KoVG5SnmvHbtpildYEzcfdx+3vmgEgJiKWtr7dsZgt1OtYk6+WDUyTPmbhxbhx6jZSSopVKczn5b9ItloaPLcXTXvWz5B+/NedJPavPMK3H00DsCXfA2g/rAWrpyjxNdVbVnrpvGWrf9zE3GFLAJi6bxxl383y0EtPxOvjObv7EkWrFOLp3WcMeudrW6yUWqNii255hni+ZjlJWBFw6ynDGnxDkYoFKFe3lG0mnqOQPy17NyJvyVwAePi5cekFWSi3L9xHC5fOTO4yHVAyYyZ4tOQrmScDriILRSsXsiVcnLJ7LJ3HtMfOQYvWQYuzuyODa4+mb5URWSvadMSGWdtZ+/NmytcvTckaRW3Cqd2Q5jg4O+Dpr6jodNF6Qp+GpzjeZDTxZcPxtPb8hFPblfinvCVyoVIJnNwck6Vxz0L6wM7BjmrNK+Lp506JakX49fT3lKunxBcWqVSQ/SuO0KVAH5s3X2bjrV9B/TpooY0KZ/bZH4iNiOPgmmO07NOILxuMJywwAmd3J2Ij41Br1PwVujAFP96wBt9wfq/CVrDN8CcarYa4aB3Bj0LeKOr6tw2xkbGMbDaJq0dv2Mr6zehBq74KoajZZGbe8GXEReno9dMnacJ7+F9eQTVz6ki83kixKoX45ei3rPx+Ayajifyl8/BN26mAwmYgpaRBl9oMX9w/2fGPbz+laxEl9UrjbnUZOr8PAE/vPVMEXJYNKtNwcts5xrf/EaPBiMWsZPfeHr/CRlZw79IDlk5YQ5UmFWjc7d8nQHzZcfTWO0lUb1mJHQv3kbtYDnIVyYGDkz1l6yhqhMIVC3Biy1myF8jG7XP38M/vh71jyojtj0a8T1yUjndaV7FlgXVydcwSTpkMB2cHbpy8DSi2wxwFs5GjkD9HN5yiestK7F91lLU/bwbA3dftrcgJlJmo91FNdi09SJ0P30GlUvGRNe35oxuPcXRxwBhvwt3HldAn4eQtnivF8TkK+tO6fxNunr5D6wFNbeV/lyY9CxmDkIBQDHGK6cPNx5X6HWtybNNpchXJQb6Sufmh2yxun73HoTXHqduhRjLC2fTEWy+gytcrzYbIJanuG/fXMALvBZGjkD8PrjwiWz4/24wBFEeIucOWULNNNWadnJxRXc4QhAWG45nNIwWZ5JsEtUbNl4v7cWzjKTqMeB9XLxe6FhmA0WDksykf42o1CIPyEs3Cv8PQ+X1sq56kyF00J0vvzsJkNOPgZEfQo1Dyl0pUfZvNZiZ3mcGtM3cZtrAvfX/pnpHdTldIqQdpQKje7NVfvU61uHPhPlp7LT0nd2LF5PV803YqDk72LLkzk3i90VY3OCCUXIVzZEi/3nobVGo4sOooHfP0Yu6wpeQqkgOVSkX+0nlTqIA2zNpO4P1g1vy0KQXNTkYhJiKWjb/u4N6lB/+/8gugi9Hx6OYTpveZx+Dao/mu0zQ+zPEZ33WclnYdzSTU+6gmo/4cTMGy+TCbzLb/KV4fz7sf1iBvCWUmf2zj6SwhlcYwm81M+PAnuhTsy8Nrj/HO7omzu3My4QTw9M4z9q84wuNbT9m+YG8m9RZk/Hlk3AqkNPzzNsxPsMSfxxL6EZaIYcjghsigGkjDoTTsacbDwcme/jN70uvHT9BoNRh0yj0ym8yYzRb6z+iB1l5Zz/zSe16G9es/KaA2zdlJcEAo66Zv/VvB07JPI/zy+NB2ULNkK6uMxC995jGj3+8MrTP2HwnJeH08vcoPo3uxgWyas5PLh6/bAvMu7L/Cw+svfmkfXHOMPpWHs2nOzn/c/4yCMd7IwHe+xmK2ULRyQToMb42jswPNP3/PVifpalGag7BEDMQSPYXX2Q77OuPp3SAOrj5G4L0gdi7a98J62Qtm490PqpOjYDYapYH94p9AWsKQYZ2RUWOQ0T//szb0e5HB9SCsMxjPgH4DWJ4BRqT+INKceqoKKU1YIoZjCe2END38F1eRMTi09jgrv1+PUAn6zeyBTw4vytUtRc5CSrDu81qXA6uOMqr5d5zdcynN+/LWq/hSw7sf1uDGqdsUKp//bwVP7XbVqd2uOuHPItgwazuVG5cjR0H/DOwp2FtZjLUOdgjVq6vjlFxVSrCkZzZ3jAYTLXo3YsvcncRF6+hRYhAdR7Wl24SUnHVLv1nN/SuPCLwXRIte76XY/zoh9Em4jT7n8a1A2//aql9jvHN44p3Ti1xFEtUSMm4p6K2JFO0bgl25DO7xm4/sBfwoUb0I9y49pESNoi+sp1arbTyVF/ZfYfvCfTTsUjuDJ30qEFqQ8SD+obOM6QZgAeIBZ9AUAZUbxJ8B3VKkfhV4/4XQFEx+nPEC6JUcTFK3GuE69N9cSLpjz7KDSAlIycNriRPYSdtHcXb3JRs7fQJ+6TOP6LAYQgLC+O381DTty39SQN278AB9rIHLh6/zUZ7PEULw6fddqNvhnVTrT+o8nXN7LpGjYDYW35qZoX0d8GtPqjQtT7Eqhf4RB9mWubtxdnckf+m8jFw+EKPBxKdlhtoMogCrp2ygUdc6PLrxhF96/YazuzN9p3enQZd3WfrNKt57A1KE+Ofzo2qzilw+co2uExOFrRCCWm1ToTzSlkV5aTkh1bl5cy1xmQeVSsWNU3cwm8wsGrOS+V/9Qa6iORi9aijeqaRfD7j1lC8bfIPFIokMVghLMwpC5QHea8F0B+zrvfLx0hKB1O8B4QlOHVC5DkbGzEPGTElSSYeMHAteS5FRo0C/F+yqgusI0JYGUwDCvkHaXVQ6ocfkTlw/dRs7By0dRrS2lfvk9E6W2ToBhSvk5+xu5f2Y1vhPCqhy9UqxZd5utPYaQgKU1O0LRi1/oYBKSN/+sjlZ0hJ2DnbUbpfIiDD/qz/YNGcnnb5uR/uhLWzl8fp4wgIjbLmYErBu+lZiIuK4eeYOEz74iSY969uEk9ZBi1FvxBhv4srRGxxYdZTggDCCA8IY3/5H/gpZmOwlEvIkjHuXHlKhQenXMo3FxE0j/n8lK4T5KRILyBiE8SyoG6Zjz95OCCGo0KA0p7afJ8wa9xQZcoPdSw+mKnw0WjVqjRpLvMk2pjISQlMANErKG0Xl9wnIOITn7whNfls9aQ4BYYdQJQnajz8BpovK77gVWLBAfFKVliOgA+N5Re2nW6MUG7aBJi8q77UkhYw/B8IZoX0xyXRmIXfRnKwImPvS9cOfRQJw+fD1NO9LmtighBCNhRA3hBC3hRAp3hJCiDpCiEghxHnrZ0xanDcBkSFRHN98xmbY+3+o3a46f4UupNePXVFr1QghqN+x1gvrf/XHQEb9OYjvd41Oqy6/EqSUzB68iKF1x7Jpzk5iI+PYvkDJKmo2m5k34g8+zPkZXQr0pZXHx1w9lhgX9MGwVnj4uWGIi+fqsZssm7DGtu/TyZ2o+9E71O9ci5ptqtLss4Y4OCvuowXL5ePBtQB+7PErR9afxBhvpG/lEYxs8i1zv1iasTcgPWBXDoSTMiPWZDzH2IuQ2WPp5pk7XD9566Xrf7tlJKsC51GqZjGESuDsrqQoTw3++fyYcWIS4zcMp3X/JmnV5VeCND3AEvYxMuILRWVnfgSGA9Z9t7GEdkMGv4MMqoQlrAtSWr3X7KqDXTUQziDDIfY3MCbEltmDxwywq45wGwuqbGDfCOX1KhCaosi4FVgixyDNwUj9DmTYh8jQ1kjjjdS6+UYhITVK+Qapp0j5N/jXgbpCCDVwE2gIBACngI+klFeT1KkDfCGlbP4qbb9sgOGnZYZw//IjarevzuiViq5bSkno03C8s3u+0a7UAA+vP6ZHiUGAwqWl1qjp/VNX6neqxdENpxj7/g/J6js421OofH5unb1L4YoFyVEwG+f3XSY6LCZZCgoPPzf6Tu9O5UblcHJzQgiBxWLh4bXH5Cjkz5hW33Nm5wXUWjVrQxbSIfun6OMM1O9cixFLBmTkLfjHkDIeIVKufKXxppK0TZsPIV4+piM9A3XTayy97Di6fPgaQ94di5SS73eOpkIDJbuqLlaPKd6Eq6fLq1zOawlL1HcQt8i65QqaXAjPeQi1H5awnhB/MPkB9k0g/rB1IpMbhB8YdgE6IMFpSYC2KrhPRqjcESolvEFaIsASBQhkiJWKy+F9hF15ZJQyrxBeyxF2r3/ct8loQqVWpTAzxBuM3Dh5m2x5ffHN7f3S79qMpDqqAtyWUt6VUsYDK4CMUy4D0WExyb4BpnSbxUe5PucnKwnslrm7+Lz8F+xaeiAju/aPcPnwNXqWGsyPPWdjMplZPXUjLh7OqDUqYsJjiQyOYudiJflYriLZcXZ3Qq1RobVX1CZSKrmtDHHxXD50jZ2L9hP0ICRFfqSIoCi+7TCN1p5dbULu7oUH7Fy8j0uHrqK1UzTAZqOZHz6ewfCl/ek5uTN9pnXL2BvyDyClRZkpPyuNJXwgMnaJzVtPGg4gQ1tAWBsw/XP3/XRApo6lmIg42z2KDlf4KYMehdAlfx8+zPEZFw9eRRerZ1ybH/ii3jhCHr/+tFKWqMlYghshDfuRxuuKqg4tIIBoxSYVf1yprE1YASQRxOb7IKPB8hDij4BhHRBDonCyAyQYj0NIPWRQJaR+t7JLvx2pW4uUwloPMOxEWsIRbt8g3Ke9EcLpxuk7tPXpTodcnzOj3+9cPX7Ttu+7jtMY8u4Yfug6M10WAmlhg8oJPEqyHQBUTaVedSHEBeAJygzwShqcG4BJ27/m5NZz1O+cqKa7dFCZdF608ustGbeKsMAIpnSbxbXjtxgwqyeg3HxTvImSf+OFlNHY/NsuHlwN4MHVAMxmM7sWK0LVJ6cXIU/CQMLZ3ZeY0m0WZ3ZewGwy8+3WkZSoVoQ9fxymRPUi7Fy0j3N7L/Pw+mNM8SZb20161KNBl3dZPG4lF/fbJuac2n6eXUsPMO3z34jXG1k9dRMNktzPoxtO4eTmmIK+5nWAlDqwRINwRkYMAEs4uE1MfPEYtiEN2xDq7ODQEMxPAQkYwRIMvDZ2gEwdS9WaV2TE0gGYTWZqW3NpPbz2mMiQaABunLxNTEQsR9afAqB7icFM3DSCMrVLEG8wcmbnBYpUKpiqg0RmQEodxC1QfkdNBHVuMCXwbboBUUA8MnISUrcb4reDphx4LUWYb4PxMlJbHqIngjkIzHcTG1f5IZw6I7WlIGKgIsRQKIKkfidStx0MShoS4paAKh9YboKMhZif4TVdOYU+DcfZ3YmrR28ws/98ytcvTba8vsRF64iL1rHx1x0cXHOc1YG/AxD0UHGtf/YgOF36kxYCKjWx+bze8CyQV0oZI4RoCqwHCqfamBCfAZ8B5MnzckSs+UvlSREcOHhuL7bN32NLzNW4ez1WTF6PxWJhy9xd9J/Zg2vHbzKo5miklHT79iP0MXpa9WuS6QPsvU/qcGbnBSKCo9i1+ABe/h6EP4sk5HFYsnp7lx+2/b57/gEVG5SlcMUC2Dna0aDLu9w6e48CZfJQqEIBnt0L5r2udfDP78edc/f4dvNIDv91ggsHrnD77D0eXg/gh0+SeyjeOH032fb5fZeZ1msufad3Q2uX3Mht0BlYP2M7OQr5U6tNau/U9IG0RCNDWoLlCTj3gHglYFLEH0Q694HY2SiPowrU1qRrju0QMhaEK8I+dceYTEKajaV/Mo4A6ndKbout0KA0HUe2ITIkmqafNcAUr6zaA24+RRetY/+KI5SpXYLpveexY9E+/PL40KJ3I1w9nW1jL7MghCPS8QPQbQDzQzA/QXnlmVCEkwpFqIQqwgnAdB5BPKjzgyUSoc4FdrWQ+g2graW4lSPBdTDEn0QgwHcvMnYhmO5D/FnQbyRBWAGKUOJpsr7JqCng0hXhkNIWJ41XkfrdCMf3EZqMo1Pbt+IIkzr9gm9ub/KXzs2jG094dOMJC6//wq6lB7h/WZk7eedIfD9+tWwAu5YcSLfUNmkhoAKApHcxF8rMzgYpZVSS31uFEL8KIXyklCki26SUc4G5oOjO/2mn/PL68ujGE1ZN2UDRKoXoNvEjilYpxKLRK6jzofJSio3S2VQaS8auwmwy8/h2oM2OldHYteQAM/r/zjutq/DjgfH0Kj8Mo8GIq5eLLe28xpqO3mRMDNqt3qoyjbrV5dDa44xv/yNaOw3FqhXm0kFltnj3wgM2x/1BTHgsH+XuhdFgJODmU3r/3JUGnWszvNEE4nXGZH0pWDYfFmlJVhYSEMaWubs4uvEk9TvVpuv4D22cXKt+2MiSb1YB8PuVn1PlYksXWILAYo3VsMSCtqKygnJ4DyFckLHzAQM4dUFoFdZmITSKMHv9kGZjKa3GkUqlwt3XjX0rjrBn2SFa9mnE/KvT+KnnHO5dfkjTzxS36ZhIRSUYGRLN/K/+ACB7QX+bAT0jIaUJGf45xF9AeP6EVHkqTg04osh7qylAlRcs9xIPFC4Il4EIlSuWsO6K7UlbKYkzxE1w7IjKfRwydgEyejIgEN6bUbkOQpoCkCGpuLA7dU1i97LCdA4ZcQmpng2ug1E5JAYwy/DPwBKEjD+O8F6eVrfl/+L6iVtIKQl6GMKHw1tz5/wDyjcoTa4iOajfqTbzv/oDtVbNyOWJ6YVyF81J92/Tj+MyLQTUKaCwECI/8BjoACTrsRDCH3gmpZRCiCooU5d0UWBLKbl55i5H1p3gzvn73AGuHr1BxYZlqdGyMvcvP2Th13+y8Os/GTz3c0b9OQhDXDzLJq4h8F5QCjftjMTy79aii9aze+lBBs/txagVgxj3/hQeXA2w1Xn3w+rsWaasnBxdHMhXOg/v92+Cm7crl48obp7GeBOFKxSwCahcRXOgVisuvlp7DUaDkXN7L7FqygY+GNaKVn0a8/jWU3IVyUH+0nmwd7Sj46i2PLjyiM1zdpItnx8hj8PYtWQ/+lgD4YGRrPlxE/v+PMyye7+i0Wrwzull65OzW2IgpNlsZu8fh/HO4WkzuqclhKYguI5Cmm4iXPoj1M9lN/ZeCaa7YJ2pWuKvgaYQQvcHMm4Jwqkb2NdVgikd6iOEQ5r38RXwWo2lqNBogh6GsHrqRkIeh7H6x4207NMIlUrFFwv68FGez+ld4UscXR2ZeeI7Sr1TDI2dhl8HLkRjp8E7u0d6dOv/Qpoe2FbSMmYewmsJ0ngb4vckqaUGtW+igFJlA7t3wPF9pIwHk0JCjCUC1MXBbFUNagop3yIhLb0KGT0FXAeApgQ4tIT409ZYq3iwr4/KoS5SnQtpug8qdzBdB8MewATm6xDxORanz1C5fWHtWjZl4qVO/i6SpgAw7FcmX+q0f091GNEaXYyefKVy07J3I1r2bmTb98GwlmTP74d/gWzkKZaLmMhYIoIi8fL3ZFybKUSFRjNm9VCe3n2GvaMdpWqmjWfsvxZQUkqTEKIfsANQAwuklFeEEL2s++cA7YDeQggTivtLB5lO/DLzvlzK6h834Z/fj1xFc+Cd3ZPi1RJtDDsX7bf93rFwH78c+RaA6q0qEXDjSbK6GYVlE9ZwYssZW34dgOiwaDx8kxNQ1mhZiQMrjyUWCLh27CbffzyDqXvH2dKK1O9Ui94/dcXOXsuK79fz6PoTgh4G45fHl1mnvmfuF0s4tuk084YvwyuHJ97ZPVl299cU/SpcoQCD5/aybbfq24iepRJXl6FPwvm6xWQmb/+apj3rk69Ubrz8PfDK7smmOTtxcLInJiKWXwctRAjBbxemplDFpgWE8yep68b0O5CRE8ChHirH5lhC2yuCSOWFRAuWZ8osOHoqoIO4yuC1MFWvv4zA6zSWdLF6Pis7lNAn4VRpWgEpJa37Jaqj4vXxthhCXbSOZ/eDaTdEicsrV7eUkjMtg1nKpTkEGfnlc0pRq/1V5ZqkzA7sKiTaKEGJXdL/BZpcVptmIKAB94kIbTlk8DtgCVUEn3NnhFMHUOdAhveF+P3IqAiEczeE62CEOmeKvgnnj5M9o5aIMaBfkVgQNw9pVwHhUA/huQiMl8GuoiKU9BvBvgEycpAiOPVbEN5//tvblQKe2TwYMq9XinKLxcKkTr9w9dhNhi3sy7OHQXxSqD9mk4Vabatyzkpx1K/qVzZHtYFzPqN5Gqh40yQOSkq5VUpZREpZUEr5rbVsjnVAIaWcKaUsKaUsK6WsJqU8mhbnTQ1P7gQCysvzt/NTmbp3XDIS2O7fdURjp8HeyY7Pf/zEVu7m5UqJ6kUz3CVdH2dg8diVXD95GxcPJ3xzKyuAgTW+pliVQraUBgAPrz+xqfaKVimEPkbxyrNzsAMhbC6gRSsrszxnD8XdVaNVo7amCclVODsNutRGpRJ4Zffk+y4z+LLBeDrm7c2dC/f/tq/++f3QPhdgeWbnBY5tOs2vgxfi4uGEfz4/Foz6k+l95vFD15k8vfsMAJVaZfMKzCjI2IUgg0C3AovxOhit3keWMIRzVxTPKiPKex4wnrKqbTIPr8tY0kXrbNRRvjm9WBEwl7aDEz3b7RzsKFunJCq1oGC5fLakdwD5SubOlBQaMm6FopYzHgb7BoBW4cyLnYlwGwMigeoqPlE4CXfQJK7spXDH9loUWoQmP0KoEldMSVbYwr422FWxHqhDRgxEBjfAEjEYKf8Pb2YKai2J1O/FEvMrMu5PRYCiRYZ9hIyZhgzvCdgnnPiV7su/RdDDEPavPErQwxCmdJvF9eO3MZsU9f/j288oXlUxgSb1op7eZ97/fZ+8DN54Jol7lx/yS++5FCybj77Tu2PvaI+nnzudxrTDzj7xZRobGUtYYISNX+91wLMHwczs/7tt+/6VAErWKErwoxDCgyIxGU3JhGvATcUc4eblwvh1w+hZeijRYTE06laXXIWzM+3wBIIDwqj5fhVMRhPNezUkb4lc5CiYLZnjR+121SnztAS3z97jqybKCjL4UQi7lhyg4I/5ADix5Qxzhi6mWvNKfD71YwLvB3HzTHKnCYAqTcoztvX3SAkbZm5n0Y3pHFyTuMpr0KU2Fd8ri5e/RzIuvAyBtgwYzyq/Y+aiCCIt2LdWqI5cv4Do76yVrQZzaUq1qf8CVk3ZwME1x+g64SP88viQvUA2NHYauoxrn6zekzuBuHg4M3XvuMzpaCqQuk2J7A0ApiASllLSHIhK5YIU0lokbPuwr4ewq4KMugg4IBwagMoHNEVBUxih8kRaYsBzKcJ0EeyT034Jz7lgCUFGf2/l6jODfgu49AdNAaSUCu1R/DmE+0SEXUWk4TiYA0gOAUJAzDSlz/GHEK5fWsloAcwIz98VwWr/YlKB9IBfHh88/NyICIoi5HEYf05WeAXdfFxo2acRFeqXZnijCTy98yzxIEmaZIB44wXUhhnbuHLkBleO3KBa80rs/VOxz9xO8jLVxej4tMxQgh+F0n9mT1r2afSi5tINcdE61v68mXwlc9u44RaO/pPjm8/a6sTr4okMUWzgao2auCgdVZtVYN2MbUSFRmGKV/7wqLAY9q04ytwLU3l6N4jStRR9b7EqhSlWRUnR0afScIIfhfDN+uGpJlb08HWnUqNyjF49hOXf/oU+1pDMg2vdjG0E3HzKmp828eGI1vStPIKo0GgcXRxw8nUkXh+Pu48b/WZ05+NCiuu5xWwhIjiKnIWz2x7WOUMWMW7dl7h5uaboQ3pDuAxCWsIBi+KGDoARDJuQhtUIt4lIp48VzyvnbgipA8cWf9fkWwuLxcL8r/7AYpEs/24txSoX4vFtRRsR9DAU7+yKjfHA6mN82+FnXL1c+P3yT3hm88jwvsr4c0jDXoTjhwhNLqQlBhk5jGSec+aLIHxAhoBUNA3CqR0y5jcUslcr9BvAbbRiy1R5K6EIAI7KalHqNiMjv1BsT95rUtgohVArNiO3b5AqX4WAWFsW1FZVtvmxTXDKuBVgfqSoIVEB9qDyVOxcTu1t/QTAeBfU+VA0vWbF8Ue/HpEJzj0qlYrRq4byx8Q1VGpUjrnDFCYZn5zeTPv8N1y9XPh+12hmDViAXx5fqjQpj5e/B0UqFvw/Lf9/vPECqla7auxfdZSC5fJRsmZRqjQtz83Td6mbhLooOjzWpi//N3mV/g3+mLCGVVM3IoRg0c3p5CjoT7Eqhdmz7BA+ubyJjYgFleDuBaV/umgdEcFRttmLPkZP9gKePL0bhMVsIV+p3Pjk9MYnpzeguIium76Fln0ak6d4Tptq7cL+K1RpUv6F/ardtjq126ZcUVZpUo6bZ+5Qu201tFo1+lhl8Ohi9Ohi9FRqVI53Wldm8dhVuHq5EB0WQ5l3S1K8amGkOdEIcOnQdf6ctI7Pp3ycrP3b5+7x8+e/UbhCAQbO/jRdVKtC5YTwUMg8pek2MtoBNIUh1upObwlF5fZ1mp/3TYRKpaJ+l9ocXHWM+h1rUaBsPvb+eZgchfzJXzrRbnj/8kOklESFRhP6JDxzBFT4pyCjkMZLCK9FCju5pqgS46QqqATVCjdFOEHiakVTDIQGhDdICTJQcScXDgiryk3KeGTk12AJQbh/h4w/DljAdFOJhdKkbkMVKleE21fg9lXyvqr8Fc9S80OEY5tE5wssgAFknCIMtRUgdh6KQLIoBLPCicSAYBMy+nukQ2tUau/k54iZhdTvQLgORTy3wksrlKldgjI7FfYLrb2Wy4evYedgx90LD4iL0uGd3ZNphyam+XnfeAFVsWFZ1ocvtm0XLl+Aa8ducuf8fZuL65F1J/HO6YnZZOHoxtPUbFOVig1T5wtLL2Szege6eDrj7K7os1v3a0KNVpUZ8u4YdDHJWR5qt6tG/lJ5uHDgik1ovd+uKe8PaIpBF49f7uTeagtGLSfwXhAhAWEsfziHTl+3JeDmU6JCo/mm3VT6z+yBl//LxXcFB4Qy/6vlxOuN5CmeC2d3Z6bsGcupHedtxKCnd5zn9I7ztmPUahUunk5M7jydK0eTk0ZumLGNTqPa4uKRmOF2w6zt3Dx9h5un79BuSPN0V/8JTSGE53QApLa48tJyykoBnxRfLuzHlwv7AQq/pZe/B6FPwgkJCCVXkRzERsVx7cQtPP09MMWbmD1kERM3f4WjcwZ7PqpzgClK+ca6ivFejTRegLBOSh1ptSuiBdfhSpF+uyIQZBzC96BSR5VNCTtIQPwp0K9XfuvWIpw/R1qiQJUNGTUe7CohXFI6ErwIIm4e0nhGETbaomBXBSHsFA4+w1Gw3FdWWIZ9ihMGAO5guoEM/pXEWC0roieDRyKDupQmZMx0QCJjf083AZUUrfs1oXW/JsRF68hXMjeFyud/6XfLq+KNF1DPY8vcXUSHx7Lt9902tu/FY1cSGxlnq7NryYEMF1At+zSiaJVCeOfwxN1HYUmODo/h8qFrNmZwjZ2GGi0rc3DNMY6sP0Xg/SBK1ihKvlK5uX/5EeHPImzHPo/6HWux8of11P2oJgBdx3fgwv4rfFFvHAAFSuely9j2qR77PIwGo419IoEeqUT1opSoXpRPxn3Ipjk7md5nHn55fYkOjUYXo8dstnDUyjCQAAcXB/QxepzdnYgOj2HxmJXkL5MHaZFEh8eAUAhE/fNnrGu/cEiZ8kCaA5ExcxB2ZRGO76dy1H8Llw9f59ZZxQX7+OYztBuSg9Pbz3Nm5wVbnYsHrnLrzF3K1C6RoX0TXssVe482yRg23QDjtcRtbQWFfVxGQcyv4PU7OLYD/U5AgiUYoU0lRktbUlllm4PBvjZCkxvhOR1LxGCIP4iMPwiObRFq35fqq5TW9440goxHqNTg9KFiBZMSGdoGTFcUdZ4lTOkbkRD3PJu4PWAAlaeSONFwEOxrKypEPIAI0FZ5qT6lFZxcHflgWEomrkN/neDMjvO0H9bSluTwn+KtE1CdRrdjy2+7kt24pj3rs3nuLvKXzENctI7mn2dOhHuOgorR+drJW+xbfojjW87y9M4zchfLSdvBzajdrjqXD1/n4JpjqNQq1Bo1Gq0GfazC0n5q+/kXtt11Qge6Ppd0MH/pPGQvkI3wwAjK1y/1giNT66c/k3eO5vGtQBp1q5Nif4te71GlSXmObTrNrAEKlYzGTm2zkQGotWr0MXq8c3ox49h3LBu/mq2/J8ahCJUACfpYAxpt2j6GUloU5whNYYTKPVm5jPwCjOcRbt8i7BNVmzLmF9CtReqWI1W+qOxrpmmf3jRUaFCaqs0qEBelo86HNQAo824J8pXKTWxEHE7ujuQslJ1iVQplfOeEM6hzAWossYvBeFWxJWEBh9agzoFw/hQZ2hrMUTavN4EFiTXjgeFQEu69JE2rPBA+W1KW29dRVmDaMord6GW76tJPYTDRFEaokyc7FUIocXrmQGTEIGyMJ0lXTLZtAzi2B5fByKBKgBF0K56r+++dEp5HWGA4gfeDKfFc+M29Sw+Y8MFP+Obx4Zt1X+LgpNzjeH0833b4GbPJzJWjN5h5cpItmP+f4K0TUAnLz6T4bMrHfPacDSSjcWH/FYY3moAQIhk3HsDjW09Zd+sprl6utLWqu/zz++GbS9E195zUib9+2UKTT18t2ZmbtyuLbk7HbDKnoCb6fyhfrzTl672YBSBbXl/K1y+Nm7crao2KceuGMabl9zbeNrPVHd7V0xnfXN4UKJsPUAJ5dTF6HJzs8c/vly6ZemX0txC3VJmV+uxItG9ZAkG/WamjW5tMQAlNCSTWnD3hQ8D/ZJr3602Co4sjEzclt6d4ZvNg3sWfMqlHiZCRg0G/FSVMID75Tv1WUHkj7esivJZZg2atai+7KuDYFsxPkQ7vv1KSSuHYChyavHKMnBD2f6tKFsJOsWs51EfGXAaH5oqtLCYhQ4GFBK9DoSkGwgGpKWD1GNQA8cpzrvJSbFxpiNioOD4vN4yIoEg+/b5zskn/vhVHbFRIt87ctTlqae215Czsz8Nrj7l/5RF/TFz7r5gm0iQO6nVA6NNw9HEG9HEG4vXJH9qt83azbvpWzOa0n2G8LNb+sgWz0ZxCOIHi/WYxW1g0egXtfLszc8B81NrEhIDFqxXmyZ1nzOo//5Vy9YBi/H5V4fT/cPnIdf6atgXfXN6sCpzHisdzKVGtKJN3jqbbxI/w8vegcpPy9JnWjYoNy3Ll6A1a9W3MqBWD8c/vR75SudHHGbB3sqdxj1fPbvp/YbayA1meYQvUBFBlB8c2oM6PcPow+TEO9QCrp6HaAxm3EktIK6RuQ9r37zWG2WS2EX9Gh8eQNAY49Gk4i8eu5PLhay86PGOg32n9EZ/KzniwPIWw9sjgBkjDLoRKYScXQovQFIf4oxA5lFeNb07rAG4pTci4FUj9XoRLX0S2y6g8piKcPwH3mWDXREnz4TIInPsotjAZC17LwfEjxQanygXm+wjHlogXOHD8U+hjDUSFKhPO58lg63eqRf7SeajWvCJFKyd66wkhaNjlXRurpJO7E+PaTmFY/XEK0fUr4q1YQe398zCTO0/H09+DuKg47B3tmHlyMv75/Ni38gg/f/4bAM7uTqmmLE5LRARHsmfZISo0KE3+0nlt5Z5+7i88xtlDcZqIjYjDEBdPcFwo62dsY+CvnwJw9+JDIoKUrJVXj96kWJVUeXYzBFFh0XzZYLyVz+8JA6x9PL75DGNbf4+TmxO/XZhK6JNwJneZzpPbgWyctR3/Atl4cvupLcAPFO6v8MAI/PK8nD7/ZSHcxiLjioI0IMN7gHMfhH01MOxQ7A5uE5MbxkFxD8bqiu7cHxkzGSzByJiZyuz5P4IRjSdyfu9lilQqyM3Td6jXsSZfLVO41yZ1/oUL+66w5qdNrA9fjFqTvlmVpeEEmG6BU/vncnZpSTbxSAp1HoUYFgAD6LdiMX+NykqBJeOPKLuMZxQnCRtlUSYgbhkyIQ7Pez1Cq9jyZMQAhQrJoTnC7zgyZjbEKkwv0nDYmtk3OXem1O9BpLHTj3d2T75Z9yVXj93g8a2nTOr8C4PmfIbZZOH45rMMmNUzVUqjbQv2Kny6Xi7kKZaT+SMUbsZ9yw/T/ouWr9SHt0JAJZAcJqSd1scauH3uHt45PPl10EJbvaQsvOmFqd1/5cSWs7j7uLL62Xybeqn9Fy3YuWg/JqMysIpVK8yDy4/QxehRCcGoFYPZ+vseDq5WglyDHybOWCo3Lsf7A5oSGxWXqk0oI6G10+DgbI/RYLQxVYDifmyxSGIiYgl6EMy4NlNs6j5jvIlH1xVCV3sne4pWLohGo6ZIpYJpLpwAhNof4ToIS2BJwIiUBhBfKQMfEFKCc+fkB9k3gLg1oHJHOLyLjN8D+u2g+fexHG8Srh1T2DYS+B/P7lLSnB/dcIoL+5SsHm5erqjU6at8sZgeQXg3wASWZwjXoYk7nT5MTr6qqQAmazyhfX1QeYNuHZjvACBM10Gt2BSFy2AkaoR9bYQqE4UTKK7wAGgVV/kEmKxZdk3XwbATYqcl2XeWRC4nV2Xlb34Kzn3TpYvVmlckMiSKPycpwbkVGpTh0sFr7Fi0DzsHLaufzU9GJgDQsncjVv6wnlb9mlC8WmFcvVzQxxrIV+rVmdnfCgH10Vfvo481KLrP64/R2mk4sPoY2xfsJcZKv1G1aYV09dwzm80Mq/+NjaA1IUNtAnIVzsGSOzNZNmENIY9D6TOtG6Z4E5tm7yQuWseIRhPxzuFJzkL+xEXraZGEqFGtUb82SQIdXRz59fT3PLgaQLl6pVj5wwY8/Nyo37k2dy4+oGilgpSqWRwvfw+bgEqKfKXy0H5oC37sOYfLR65TpWkFm/46zeHQEPTbEA7vgcoFZeZtTNXILTT5EL7bkdKMjBptTQNuUVyB/0MYuXwQh/46TqmaxTm+6TTFqxVmSJ0xuHolJvHrP6tHulKCyfgLEPYJCUZ/IZJn8lW5jcRiVw3iloGmqMK4oFuDNN4Ew24ljbumqBLvpMkL2nK2Y4W2GMIzJe9kZkA4tbGq6bxAGrFE/4RwaK6o9Ax7Ec7dlXitZI4TDiiMKColuFeVTXEQiZ6ItFutuNynMUrVLIaHVQNUqmYxHlonL87uTrbsCknRdnBz2g5uzp0L9xnRaKKNAun0jgtUbvzimMzU8MYIKCkllw5dI2fh7CnyNSWQHD68/phVUzYSbzDaeOpK1y6OEIKBv32Wrv2LCY+1CaeiVQoxfv2XqdSJoUarylRtWsFW1m9GD75qogS4hT5RVoC9f+pK1WYV07W//wb++fzwz+fHX79s4fcRy5Sy/H4E3gvCwdGOp3efEWXNyFqpUTkad6/Ldx1/wWK2cOPkLca+PwWLWRlw147fTDcBpfKYhpRTE9V5PhvAEoWwq5CiroxbgTQcAPvGSShzhI1R4G1CRHAkD64EUKpWMVuIQwJqtKpMjVaVWf7dXxzffIbLR64TY/0vS9UqRpGKhajWPJ0T7cUfA6zu2S6DwTn52JXSgkCC29cITQGl0Kk9mJ8gg60xkaYbgArhuduWgv11hLBXWGUsIU3BdBup32RNqCmQjp0UFWeCcHIZZmWmWK6UxS3A5kZgugIyRuEWTGPkLJSdlU8Ut3eVSkX3SR0p36AM+UrmUnhAkyA2MpZZgxbi7OpEXIzOFsNp72RH9Zav/ty8MQLqj4lrWTx2JR5+7iy5PQNHF8cUdS4fvm4z6oESV5QgNI6sO5nCuy8t4e7jhk8uL0ICwtBoNckC157ee8akztMVVaRF0v6LlnT6ui3OboqKodePn7DIeSVndl3AbDRTpPKboVbyy6Po9e0ctERZV0u3z9/nk8L9bEqI8MAIfv7sN9y8XTCbLESHxdiEU6VG5Wj6ip6Jr4qktiahSd0lWkodMmosIEHGK/E1pgfg8Ssq+9cv6+m/gdlspl+Vr3j2IJg2A5vR++euqdY7ukHxYkwQTh5+blw+dJ0bJ27TdcKH6RqcKzVJvEfV+ZOt1mTcKiUw1RIEOCE9f0NlryTIFOoc4DYeGbdGsdNoSyVXnb3OUGUHblvVftb8ZjE/KOz7CdBvVgLMhTfISBQ7nAWEI8L1q2QhFWnePVWiSletVlPpvdS1UTsW7bdlAO88ph3O7k4UrliA77aO/EfOWm+MgErIJhsTHkO83oijiyNBD4Nx9Xa1DZY6H9bg7O4LHP7rBGaThapNK3B6x3ni9UZyFPT/u+bTBAmxAFJKpJQcWX8Sn5xe7Fy836bbB1g9dSO7lx5k+aPZaDQanD2cyZ7fjy/m96F8/dK4erq86BSvFWq+X5U556bg5OZI+LNITm5V7AC3zykBnq37N+HK4evJgqRBSSZZqFw+Ri4fmGqMhDReR+pWIByaIewqp/+F4GBNTHcKYf8uwjlzQxLSE2aj2eZwE/pUGVPxBiOhj8PIXiCRgbzHpE7M7D+fh9eUl2XlRuXYtfQgvrm9k5EwpweESmub4AjikOYgxfPOvo7iVJAQ/EochHfB4tgZlbtCw4PKB+wqK2kyNAUVJvI3AMJzFhgvITWlELq1IFTIWOtqUPiCc3eI+f65oxxA5Y9w6Ylw+iDVdmXcn0jTQ8VLUJX+75WS7xTD0cUBeyd7mnSvxyfjPvz/B/0NRDqlZUoTVKpUSZ4+rWSzjImIZcOs7RSrUoiKDcuydd5ufv78N7IXyMbciz/ahAPAjVO3uXLkBo261SE2SslVo9aqUwSbpTUCbj3l+KbT1G5fnWMbTzOz/3xUahXZC/jx+JZCvOnp72FLYzBozmc0+6wh3370M/tXHkWjVbM2ZGEKo+ObBIPOwPJv/8LDz533BzTl0NrjzBu+jLDAcAxxilvw+wMa0WdaTwCkJRbiT4JdRYRKMRpbQtuC8RKofFD5pa8NSOrWK4nknLojhECoXJUXImrEc5xnAEKIM1LKN2pZlXQcAVw6dI3z+y7TvNd7ePq506/qCG6cukPn0e345JvEF4rFYmHnov24ebtSo1Vlbpy+Q1y0jpyF/FNQbaU1pH6HkiHZ8X1kaEsrc0QVMCbEpyWkbld+i2znQcYhg6oDZnBojcrjh1TbflMgjZeQunUIx9agKYmMHAGGIyDDsKn9vDajslPea9J0W0klY00BIo1XlWBlAOe+qFwHpjhHWiE6PIZVUzZSqFw+qjaviFqjEA0E3HxK9gJ+KVZPLzuO3pgVlIuHM51GtbVt3zyteOg8vfuMJ3cCUWvUtjTjRSsXsuVEkhK+aat4lH0+9WNbUrX0QK7C2W3tJ6ixpMViE04AXUa3ZUa/BUgp8bEG4ibw0Pnl8cHOIX1np+kNe0d7uk38yLZdq201G3v73j8PkyfHj+QvOgVL1DOwRFndu/WgLYfwVlLGoymiCChN+rrTS+MtK7M0gES4DlaYssM6K6SiXmsQ2sIKM4WMRSRLevfmonSt4ja7n8lo4s75+wDcOH2HgJtPcPVywd3HDZVKRePuiXFqdy/c56dP5+Dk5siCa7+ksAWnJYRDopOQTHgZm5Kke1HnUAJU4w+CyhfQKOo8dXYwByA0+dOtbxkFoS2djI7JRnxsiVHSe+i3QHhXLM6fKB6npquABLdJCKe2oPID4QEy8oXq7bTC0m9Ws276VoQQLLkzE/98fvz82Ry2/r6Hiu+VZfJ2hZRZH2d4JQ/QN0ZAPY/OVl65fKXzMKrpd4Q8DqP/zJ7kKZ6T9TO34ZvLm14/foIuRm/zIgl6GJJu/dm15ACXDl2j09dtyZbXl1b9GhMRFMmtc/c4te0cADVaV6FF78aUrVuaeF08hcorg+iTbz7kndZVyF7AL81pfzIb10/eIvBeELXbV6duh3eQzz4DJMQtTl7REmH7Kdy+BaeukN4vGZWnYlSWkQiNNWbNdBswKtxp5ntITUFkWCclbsZ1dPr2JxOg0WoYuXwQJ7acJW+JnHQrNhA3b1dmnpzEgdXHuHTwKs0+bUiNVpUJfqSQmcZF6YgJj0kXASUtMciYaQiVTyIpq8dMiJmjrB4AEOD+K0JbUCF31RaxqvLswXsdmB/bYoreFkhpsoY9FFCuTVsGqVsJxEDMj89VjgBAqH3AdwdYotM8iPd55CyscO65+7rZSKETEhbesar8r5+8xbD63+Do8vL2yzf2beiTw4tBv31O0MNgfh2oxDod3XCSGf0u2upUbFiWas0rMvavYdw5f582A5umS18iQ6KY0m0WUkri9fGMWDqAuxce8Oekdcmi1as1Vzzz8hRLmRI6QVi9TQi8H8TgWqMxGc0EPQzhg2GtkNryYExOKou2NsJ9JAAy5jekJRDhMjjdU68LtQ/4bFPUItoiWOJWg/4QOLyvDGj7Boq9w5r0UMa/nS7nCavchV8racSjQqP5tsPP3DilaClun7tPjVaV+eDLVmjsNOQs5J9qjrE0QdwfELdEsUHZVVRskLGLQb+OROIbFUJbSBFKVi+4BAiVO6Sjs0BmQcbMgthZgD347lPGkXBWmCVscFBsVU4fI81PlCBzbQWEU7t071+rvo0pVbMYPjm9QMD0vvPIUSg7+UrmoX5nJfXR5cPX0ccabNyiL4M3VkAlwC+PLyOW9ufmmbu4erpwxhpY6OrlQoGyyqy4RsvK1GiZfsZ2JzdHchbxJ+DGU57efUZwQCg3Tt9GCEXFWLVZBfIWz5UsIeB/AYqzSMJva6HxfPJKqtyovJWswjL+LDJhNqjyBpd+6d5HofYBtQ+W6F+sLwBAlQfcv7Om+nZBugxTPKicugJz0r1PmYUPvmyFyWgmZ+HsrPlpk6284ntKSnQHJ3s6jkxbvrcU0JZAyYkklJQUwhmk1TNXOIJ9fYRDozfG+SF9IBGmi8hkwgklH5TzJwDK86xfh9StUVjZ1emfMaBg2Xzo4wx8XLAf4c8iAOgytr2N07Nx93qc3X0RlUbF7k1r/qalRLzxAgqgXsda1OtYC5PRhIOzPa5eLtT96J0056B7EbR2WtoMbMb0Pr9z9dhN+lT6koigKN5pVZn3utbFzduFk9vOEREUSUx4LMZ4E0UrvRmu5P8G2fNn4+dDE6wqPmWmK1yHIOM2gH1dsCsDMYuxhLRAeEwDdW4laNESqbgIZwCkfo/CcE4Sb0LLQ2TUNwj38cq2YZei34/JfKLU9ISzmxOffq8wbJSsUYSDq49TtXmFNMmM+rIQ9rWQmiJK8sHo75HEAwJcBoL9e4j4I2B+hsUSjzCeAE2JVJ1Z3jYIlz6KyltTEKH2RdrXB7vaShZex1ZgMSPj5iON1xDukxB2ZZH6dUpCxgxaUU748CeObzpNvCGRhumPiWup3Lg8xasW5tmDYM7svIDF8vKOeW+FgErA2d2XCHsazrsf1sgw4ZSA0rVK4OzuhEqtsiUfjAqPYcHXywm48RSzycyFA1e4fvwWFotk0vavXxhL8DaheNXCFK+a6OwgnHsgjdchbjbo/azxLIpqT+XxA/jsBql76Xw7/xZSv82qJokFdREwW8MBzI+S1DI99/12wxhv5PBfJ3H3dctQ4WSDfT1FQGkKg+kyIMF4A2KXI6WVAsywR+HVU+dG+O752+beBgihBcdEHjuhcgf3yciQRhB1EoSLEqhrfgAunyq8fPZ1QeX5HI9h+kAfZ7DRtOUtkZOgh6HoYvRYzBaCH4VQvGphLGYLr+o0/kYJKCkle5cfxtXLhSpNynNh/xWc3By5c+EBBcvmYUyryZhNFjbO3sGAXz9VWHUzCPlK5mblk7kc23ia3X8c5M75+zy988wWvwWKJ2LC7CEyOCrD+vbawfxU+ZYxiWX6bVgC94BjI1Tu3yHNT5FR40CdC+E6Kt1UOsK5G9IcAOq8ykoJQLgi3CYk1vH4Vcl4al8X+Ctd+pHRCHkcypH1p6jeoiKOro5cPXoDV28XHt8MJCo0mkVjVgCwcfZ2Jm372pb6JSOgch2IxbE96DYqhK7SDIbtSWpoFBd0AEsYUprTheLntYeMSjKGkgQzh3ZGColw/xFh/w5St0FJL+PcHWFfJ1264uBkT9fxHTi+5QzZ8vrw4KoSP1e1WQVqtlECqQtXKMD3u0YTGRzF7g5voYpvx8J9/NhzNqDw7/05aR1CJZAWiauXCy6ezkQGR6OPNfBjj19p0Ll2unKGPY8HVwP49qNpKcp9cnjy1fJBBD0M5uRWxaPPJ5dXhvUrMyGlGRnzk+JJ5PqlEiyoKa7Es6jyKh5HlqeAQfno1iDdxiNj/1CEAig5cuxejcPrZSG0JRHeK7AEvWOlinFSovI1uRLrqLOBU4e/aeXNwzdtp3L95G22/r4brZ2GG6fuoFKrsJgtvPN+YmbWB1cC+HPSXwyY9WnGdjB2NuhWpix3/Bjh3BkZYQ0PEB7/GeEkTbeRMbMQ9rWU3E+qbIqLvSUE7OqDYSNgARmqkKLoNysCKmoiyEikJSzdBBRAp6/bUqBsXsa0UgKKcxfLwYBZPZOxUNhyzL3kcHqjLI0JMUIqlbB5gkjrikQIwYSNI9DaKzK3cMWCGSqc9HEGTu04j1qThBLEmo4gLDACrb3WxpoghLBxWJmMJr796Gf6VhnBg2sBGdbfDEP8IYidB7oVyKhvsYR1B711FWK+ZhVOAtCAKh/Cpb8iKPQblTqqHJDOMRxAIrO0fZ0UXk/SHIwlagJStzH9+5FBsHNUnj97RzuiQq2zcKv+JXv+bLTqmxiHlFpKhfSENF5PzOn1PIynEZp8kMCvp3JLctxFLCGtsESOeuVcT28CZPSPoN+CjPwKS+TXyIheVhW5BQzrsQXvCm/QlEI4dULqtigrLVCY3tMZzu6JJNn9ZvRMka3g2KbTTO8z76Xbe2OYJBJwasd5XD2dKVQ+P1vm7sYjmzvxuniKVytCrsLZiTcYCQuMwDeXVwoizPTEjH6/s/HXHdg72lG7fQ2M8fEUr1qU2YMVF3gPP3d+3D+O4EehODg7ULJGUQCuHr/JwBqjAPjgi5Z8+kOXDOtzRkCaHyND3ldUNSpXZbaXwCqeAOdPUbkOSzwm/pQSewTpHgFvO6clDOIvIO2qQmhbMN8Hp16o3AZiiRwFutWAQJ395hvPJAFKXq+zuy5Svn5pIoKjOLbxNIUr5CcyOIpa7aqhtdMSGRKFlBIP34xz25ZSjwyqoUxStFWUZ0ZTWpnoGM8olRxagOtoRPxhsKumeGIClsivQKdkRRY+uxJj294SyNj5SoCuugCY76ZSQ4Pw2aoIcCssEV/YJnvC92CKtPPpgRun7yAtFowGIyMaTURrr2X22R/wzuFFK7cumIxmdss1bxeTRAIqNypn+92qb2OM8Uae3A4kR0GFR8zOXot/3owxsCdFQoCtxk5D/5ndcXRx5P7VRzYVZERQJL3Kf8n4jcNt7u8ABcrkpWydkjy5E0jt9tVf1PwbC6HOifRZB5GTwHTOWugM6pzg1AkhnMDhubTv2grg1AnMgYgMUq0JlRc41EXq99ryCBE3H9wGIjTFlLgcVQ7g5t+08ubAzcuVOh++AyhEx3mL5yL8WQRmk9nmYOTu4/Z3TaQTrKtpAE0hVO7jALBEBiUKKP0mkAZw6WUTTgDCoQXScBC0pZXn6y2DcO6BVPlBzELAEVvqGG0VZeWvLZBMOCnHfIa0hCPsKmSIcAJsHsofF+pLvN5IvN7Imh830W9GD/IUz8Xdiw9euq03bgWVgPBnEdg5aBnf/kfO7r5E0571GTy3Vwb3MBHGeCNH15+iQNm85C6ak4iQSEY2+Y5bZ1LOdMrWKcnUveMyvpOZBEvU98rLHlBeQFa1rO9REBpkzGyEpjDYVQHTHbB/N9PiXCymOxBiZb3XlEPlo9AvSdM9UPmiUru+FSuoBJjNShC1LkbPgGojMRlN/Lh/vG2FnxmQpgdgvAwODRHCDot+D0QMBvRJainPkXD/CfEWpkR5ESyBZVHyQSWBfX1UnrORhiNKinunLmAOBJUfQpt52bcndviZA6uU4Pape8dStk4p9HEGnj0IJl+J3G/nCgrgzK4LjGo2CZVGhVGvqIqObzmTaf2JjYojMjiKdz+oASjEiT1LDrF56vnl8cHeyQ5dtJ6Qx2EEB4RmWl8zA0Jb0sZOjTo3mIMAAzKkFTg0AZ2VOQBnIBac+yFcB2RKX1Waglg85kDEEDBdRsafVJjOzQ9RAkjfLkzuPJ39K49i52BHvF4h8z2980KmCShpCgCVB8KxmbKt+wsiRyRWUBcBzImrXEtgykbeZmhLgtE62dCUtGbd3YMlagLo/gIZizQcVVTUaMFnW7rTHL0IX/0xAI2dhj3LDjJ7yGJmnZpMTEQsT26//H+WJtNUIURjIcQNIcRtIcSIVPYLIcR06/6LQoiUGeNeAcc3n8FsMtuEE2DLrZTRiIvW8WnpIXxSuD9b5+3m+OYzfFFnrE04uXm7MOrPQXQY/j66WANFKhZg3NovMqWvGQlpOI4luBGWyNHg0Ax8Dijkqz5bQFscxc0oWCGFBcAOxZMPMBzEEtoWGZ/6rD/dYQlHSZhnQhpOIGNmIsM/RYamM4sCGT+Wzu5W7n+CcAJw980cUlyp24oMqY8MboTFHIIlcgwyelpiBe074L1SUd8JN3DsAE5vb2qUBFiixmMJfg9pOITwWgxe6xE+u1D5rCMh6zBxK0hKBaXAiIwciiViIFLqUzaczlCr1dy7eB+AO+fvExetY0C1kTYvv5fBv15BCcXHcxbQEAgATgkhNkopryap1gQobP1UBWZbv/8RDv11AgBnDyecXJ3w8HXlsynKg/rkTiDGeJON2Ty9ERUabSPR/OPbtXj4uXP30kNUakGxKoUZvWoIm2bv5M/J65AWye1z98hbMp14zF4jSN2fYL4HunvgMgCVJjuW6GXIyOGgrQZGqz3KdM16RDw491LsU1a6Ixk7H2GXMdo0KXXIiGFKIjhtkmzGsfPAoUHCRaVrHzJ6LJ3cds6W4DNbPl/MRjMlaxbjvY/rYLFYuH7iFnmK57KRf6Y3ZPwplIlLmEIOq1NisRDe4NAUXIdDSGOwJHi7ynTna8xsSEuUktoekHF/oLKvBWovZMQgJI4KU4T5HjaCY1DUey4jwHxLcRoxXgCH1uBQN0P6fPHgVeYMWUTF98oRF50oGCd+8DOxUXF/c2RKpIWKrwpwW0p5F0AIsQJoBSQdVK2AJVIxeB0XQngIIbJLKZ/+kxN6Z/ck9HEYFRuWZfTKIbbyOxfu06/KCCxmC5N2jKZC/dJ/08o/h5SSc3sukaOQP/75/HB0dUQXrSPoYQh5iivGWYtZcvXYTXYvO8TqnzbZ3OE7j26fLC7gbYVwbIeMP68kj1P5KDO4WKt7qfk+qAsrAwgtNtuCfjdoiilBs5YQhEP6pUZJAcNxMOxUfmvKKxlOLU+VvmmKIVzLWVd+Vf6mkX+NDB1L7r5uqNQqpEUyaM7nyZhNZg9exF+/bCFn4ewsvP5LuoVsSHOIkq7croaiStX9oezQ/ak4pVieKHE9uj+sz0WCcHLIMAeazIRQuSEd24HhMMLRmpRQv8NGYIwqyWRXlQ0sz4A4xYZnCVXSbaizgV25DOvz6h83cuvsPW6dvcfnUz9mwajlGA0mzu6+yM+HJ3D9+C12D824QN2cQFJemABSzuhSq5MTSDGohBCfAZ8B5MmTuu70h12juXHqDqVqFktWHvI4DJNRWfIGPQh+lWt4JSz/7i8WjV6BSq0iR0F/vLN7EBCtzK6fp5IPeRyKg5M9Rr0RtVZNF2uakLcdwr4Wwu9AkhIHpF0txV0YsxJ4K4uB0yeg2wy6RWC+rXwA4fEbIoNmfIAygDVFlRxVmnxW4QRoKyCcPkCoPJDmx+ndizQbSy8zjopWKsjcC1MxGkwp2PQD7ysUVCEBoZhN5nRJAyOlRIa2B8tjwAHsa6OopyyAWXm5kiQeSpWEzcKuOkJbMs379DpC5f5d8gL7uhAzTaHosjwCp88BAzh2htDOQCAYNlsP9kPls4mMRINOtbl08BoV3yvLzTN3MRpMaO009JjciVI1iin0WUNfrq20eOpSm1o97xr4MnWUQinnAnNB8T5KrY6zuzMVGpRJUV61aQUGzOqJPi6ehh+/i8lo4tGNJ+QpltMWNJsWiLaqRSxmCwE3n2Bvzebrl8eHuh1rcmjtCVvduxceUKZ2cY6sP4V3jr/PnxMXrSMuKg6fnG8n+aXw/E2Jajc/Ad0mQKfkX7Kp+axQeYE2Y430QuWJ8NmEjPsLGT0+cYdjezA/Q+p3IKPSPR9Umo2llxlHwAvTZvSf2YO8JXJRsWFZNFoN4UGRxOviyZamIRwWRaUKgD5xBQuKbcl4w2ZiUeoGY4uh06Yc/0khzU9BuCNUmWObTk8ITR7wWo6MngIIiPsNUFmTfz5LXtku40NX3v2gBu+8X4XRLSdzYf8VAJw9lHd2eFAko1tMeum20kJABQBJn/JcJJv2vHSdl8aTO4FM7/s7uYvmoM+0bgghiAyJIi5aR4veiRHw49pO4ci6k9RuXz2ZKvDf4pMJHXDzceXIupNo7DS06N2Ic3svUbFhGb7/eIZSSSiqyDaDmqHWqDmy/hRBD0K4ePAqZWqnTKYWFRrNp2WGEvEsglErBlO73VsYEyU0CPdxWCK/weYqa7qXvJLLcIRz5wwhuEwKaX6iCE/jZSUHFALcJkHMVKQlJLldKv2Q4WNp82+72Lv8EB1HtbWp+B5ef4x3Dk+6f9sRULJW9yo/DH2cgYmbv0oWi/hvIIQavBYrtFbGMwrTgXAEDCAtYDxmrakFbXmEYyslzin+sMLT59o31XZl3Fpk1FegzgXemxCqjLGhZSSEtjh4/oZ8luAjY7Gq9xJgB777ECqf1A5PV+xacoCtv+/m8uHrAJSqWYyqzSrwWZmhuHq5EPcKdqi0EFCngMJCiPzAYxSWpY7P1dkI9LPq1KsCkf/U/gSwYeZ2zuy8wJmdF6hQvwz5y+ahd/lhxEXpGLt2GDVaKbmf7l16mOw7reDo7EDHkW3pODIxBX2DzrXZMGs7hlirN5RUqI5cvVz4ycofCBAbmfqfExwQStjTcABunbn7VgooG1Qe1h/24NAIjFeV9N3mu4oQy2DhBCBjF4Fht7V/2RFOH4BdFaTFGhKgKWBNQT/hRU2kBTJ8LM0ZsgiDLp75Xy2jYNm87FxygN+HL8M/vx+/X/4Je0d7nj0IJs6qwn54NSDNBBRY05p7TE5RbglJan80Kv9F3IpE2wuxKY5JgDRZPUPNAWAJS6RFeuugUlJpWIJAUwGEBaQahARpRshIhMh40oLpfeahjzPg4GxP7qI56ftLdw6uUSYb0WEx9P65KzsGrXqptv61gJJSmoQQ/YAdKIEiC6SUV4QQvaz75wBbgabAbRT/3W7/5pxVm1dk67zdSAFjWid3Wbx/5ZFNQA1f0p/dSw7QqFvG2DLsHe3Ils+PsCdhGONNBD0MYUSjiZjilTQNPb7rSPUWqXulFSybj94/dSXg1lPaf9Ey1TpvC4RLfyVltek2xExRCs23ABQqF6ePUxjl05uRWdi/g4xbDEiwGBAufRWbk6YkCK2V6Nad9BRQmTGWan9Qnd1LDnD34kM+yJ5ICBv0IJi4aD32jvaUq1uKz6d+TGRINM17Nfw3p3spSKkDVX4QwYpHH0DsTGxB3qrsCM/fX3i8cO6LlBaEtgRC8/Z6zAqhBu81YLyCjJmjeOslgYxdhrAycdjKpAEZNRYscQj38QjbZDHtUPrdEpzadg59rIHKjctRqHx+rp+8TfYC2ajzYQ3aDGwGg16urTeWSeLY5jOMaZl85lW0ckGm7BmLo4tjRnQvGW6dv0ufCsNt265eLkSHxdh+F66QnwmbvsLOPmPzVL3OkPpdyIjn1DQOrZW8UM/B8qyKwnyuKYzKZ0u69McS1hPiDwIgPBchDXshbomy7b0JoS2KEOKtYpIAGFDjK64dv52srNdPn9B2UOYwNFjCukL80SQldkC8ldBXIFy/QDh9mCl9e12R9NlVoEV4/oawr5msntTvQEb0B0C4fo1wTvs4spAnYXTO3xuz0YJXdk+WP5hNS7cuxOuNFK9WmOlHv3vpcfTG+juHW9VhCXB0caD3z90yRTgB7Fp8INm2d/ZEh4iYiFjebV8jSzg9B2k4pLjGJoW2HJaoSUhLRPLyBL4+++d4+9ISSQzK0ngZYfcOoFXY1NUZE1eXGTAZLYkbQvHuyyzhBED82SQbAttrypoOhXRMGfEmwmJ6pEzeSKLKtKuHNBxCxj3nzq0tCyp/EO5g949DUf8WPjm8bI5e4YER6GL0VG2m2MqqNn01W+4bSXUE0KhbXY5tPsPxTcrMUBej58bJ25lG0eLibn04BHSb+BEHVx2z7ZMWyYJRy6nZtipuXpkTpf86QMbOR5oeKindzfcSvfdU/opR3K4yRI9T6iIRbiNtx6rcJyLdxiFEOj6ypjuJv+3fUdyYs50B7DKNGzAjMPKPgQyoMUpZ8UuFjdqgM9jSw2Q4VK5g0SvPhdtUiOhs3WEBy1Nk9E8Ij5dnI3jbIM2ByJiZitt9/AkwPQQZouxUF7UmMRQQt1Bx77SrgNAUAFAIY30PAJZ0y6NlNpt5dl8J88lVNDsuHs6MWf0Fulg9js4O/+fo5HitR50hzpBqeVhgOPevPGLo772o3KQcntncKVg+H8WqFebz8l/Qp9KXhAWGp3psWiM4IJTx7acSbzAy9Pfe/HxwAh2/akO1FhVBJOawigyJ5sTms/+ntbcX0nhRsS/p/gTD1uSu5fbvIDx/hvh9JPDdCU3KiUa6CidQ1EbqguDQAqEpZj2nwxsvnMKfRWDQpT6Wbp+7h7OHM4Pn9iJviVy4+7rRun8T9i4/zIc5PmX+V39kWD+lbjOW8E/B5QuE2ziEz0aEfWUlaBpQVH2APn1UvG8KZMx00K1SkjoazyYKJwR4/gr2NSF+h1Kk8lHCNpJACJGuSR7VajUdhrcmR8FsdJuY6OPzqsIJXvMV1ONUSAXDgyLpWXIw0eGxDJnXi++2jLLt2zpvN3cvKFTuZ3ZdzJCU739N22KLe/r19PcUrqDMVA7/dQIkxOuNeOfwxNXThfL1S6V7f15bqHIoMz5LOKj8QOrBdRRgROXUDktoJ6t7N+A+DeHYNMO7KOzKIny3AVZeOPMDcO6KEJmjNk4rBAeEsfL7DXw87oNk5etnbmPWgAV4+Lqx4Pov1Lr8s21fn8rDCQuMYN30rfSY1ClD+imjRivBp+ZQhI+S1FIaLyYGTaMB4QCO72dIf15XCG0ZpG6NdTxFK6o6hyYK44naB6lbjeJM4qvkh1JlXD6vBPSY1IkekzoRGxXH0vGrKVguHzVaVn7ldl7rqaFGm1LKR4fFEB2uuJg+vZs8KK1ai4qUfKcopWsXJ0+xnBxaexyT0ZSufSxfvzRaOw25imQnR6HEfCsau8S+hz4Jp+/07m9tAO7LQKh9FNYILKDOAe6zIWoURI3E8qyC4g6s1MyQzJ9/B2m6jYwchIz5GRnSAml6iDQ9QsalkoL8DYGnv0eKsqd3lPETGRKdIvyh3eDm5CycnY++asOpHee5cfpOiuPTHPbvJv8GJTmfLTY5DoQnKrdRzx/534JjG+W+WEIRbuOVnFBRIyGsDTK0A7bMupqimSKckmLJ2FUsGbeKsa1/YFqv35BScmLry2uSXusVVK4iOVKU5SmWk6/+GMij649p0rM+G3/dQZl3S5CvZG68/D2ZdmgiBp2BDrk+JyY8lvcHNKXPtH/lifu3qNKkPH+FLUJrr0mWwbdEtSLcOZ+YmCsyRGGfeHTjMXYOdmkckf+GICGGxXgOYn8GEmLGYkBVFDSNEA71EapMsn0kQLihJITTgfkhMm4BGA4qcTVvIHIXzUGLXimdS7qMbY+jiwMFyuYlLDCCs7su0qBLbewc7KjXsRb1OtZi15IDjGzyLUIl+O3cFPKXTr8stSqPaUjLRITKxVYmVC7IpEz3lghrOneTEj+nLYoQr646eqNhCbNl1JWGvckZOEzXwKEtoEe4Zn7WBL88iYHCW+buplD5/PzS++VTvr/WAkqlTn2BV+8jxXVyYoefOLDqGG7ernQc2Ya5w5eSs1B2Jm0bSWyEMiN8cOURQY9C8MudfhHVDk7JX6hP7gRy4UCijaVwhfzUbleNs7svMqLRBFQaNbPP/ED+UpmTpyWzIFyGIrFH2NcGjEjjSeseR9BUQjjUQNhnfoCyUPshfdZDeC8wP0bYvYs0HMnsbv1jPM8PmQAXD2e6TuhA+LMIOuXrg9Fg5OGNJ5zbfZEH1wLoMLw1kcHKxEpaJI9uPsU/v1+6esomFU4AMm45ydid3IYjhLCmMt8G2nII75cL+nxbINT+4DoSaTwHzv3B/Mhq0xWgygd2FRF2VRCvQVbhtoObI1SC30csI1eRHK/8Hn6tBRQoRtwdi/bRoHNtilYulGyfnYNiNNXaa1g/cxsWk4VH1x+zf9UxEuK7rhy7Sed8fRi5fKAtxXV6Y+ei/Ty8ljjbLlS+AEII7ly4j5RgNpr5qtEEhi7om6ZR+a87hLYownMG0hKrzPocu4P5qWLQ1f2G1P0G6RSb8SJIKZExUxQPPrv6CCGQ0ojADD7bULydNAqTefxx4M21f2yYtZ3wwAg6fPV+skmVWqNGo1VjNBiJjzPYUnKvmrKR97rWsdWb0P5H/PL4MPfijxmWf03GzCBZJt0E1+h4a7oW43ks4b0Q7j8gVJmRoj5zIJy7IuiKNF5FOrRVVpOmm2C+DFEjkTiB317Ecw4S6YnHt5/y66CF5CmWC788Pvjn9+Pm6TtUblyOTdHLbHyoP+weQ4X6Gcdmnq74/uMZ3L/yiJNbz/LbhR9Z9PWfOLs702l0WwbO/pSqTStQvFphjm06w68DF2DnaEftdtWICYvh+slbnN+nkBXeOnsvwwTUO+9XYfNvO4kKi0FaJDERsVw4cIVydUtaX4CS0KcRzP/qDyo3KkdEcCSRIdEZlsMqPSBND5QIdU0BJQAwFc83aTiCjBqjuBDL1NnmpSUiVTbUdIPpGsRaWQkM+2ysqxIQKg+Eo0K5I9T+4Ng6I3uWprh85Doz+88HwMnNkVI1i7F57i4adnmX8vVKM+PEJB5df0y1FpW4evwmd87fp0KD0nzwRUvCnoYT9jScG6fuEPQwhMjgqIxLEOrQDuIWAEbAAYznkZYwxU6ls9oEDXtBvxmcOiKNt0Dtg1D9PTHz6wwZ9ydStwHh0hthn7qjlyVyDBgOWPn3LKnU0IFM3XMzvbD2p82c3HqOk1uVyYNQCaRF8te0LawLX2SrV77ey6dBeu0FVO7iObl/5RF5iudi2+97WDtNcTEtWqUQVZqUt6VZb9W3MY2710WlVqG109o8j9bP3Maj64/58MtWGdZnKWUyo/Ohtcc5tPY4+UvnYcKmESwes5JbZ+9SsWEZIoIj6VFiMFGh0Qxb2Jf3PqmTYf1MS8i4P5To//ij4NgOtMkJcaXxOjJqnKKOSBWu4NQe4dIrvbuaDFL4gTqPwrBOgkONIiJl5EikYT8qjx8ztE/pAZ+cXji5OqKL0ZOraA5+/uw37l95xPk9l1n+cA55i+eyTZDmnJ1CbGQsztbYvvHrhxP+LIKl3yjeWDkK+v/dqdIYMSjCSQ3oIXIYEouSkM+5F8QtByxIbWWIW6FMgFQ+4LP9jV1RyejJIHXI6F9SFVCW2IWJyRxTQKXkzXIdg1Bnf0Gd9EHhigXQ2GlQa9QY4gy2HHhms4X3vboycvkgqjZ9tQTQr7UXHyhBhLPP/MCYNUMpVD4/WjsNzu5O5C6a3IEi4NZTlo1fY3MzT0Drfk3oP7Mnbt4ZFyD77EEIJqPZ9geprd6IIQGhVG1agSKVCgKwf+VRIoIibVlNH11P93xD6QZhX1fJhqspqRC/JoGUemTEQDA/IEW2CHUBhNcfqPzPoHIbAZYwLNG/IOMzKGYsohuYH4KmSmLfnHooEfcYQL8JKeP/roU3Av75/Fh44xcWXP+FGi0rU6yKoi4vWqVQirp7lx9i3fRt6JPEIXpm82DAr5/S7LP05+JLBlPCeE7Iu2FdLchQhHNPZakrYxCGnUjTXWuVUHieieRNgkMzQI1wbJZil0W/F6IT0lUkHUsCHD9C+O5H5bsDlcM7SP1eZMwspCUm3bt86dA1q/ODpEglJdRGrVUzcM6nGOIMxEXpOLD66N83kgpe+xWURquxJVMrXas4fzyYjdZemyIN9ZSuM7l67CY7lxxg0c3pPLz2mELl8yXzrMso5C6WA0dXB3TWdMeNutbBM5sHJaoX4fjmM0QEKzlwYsJjyV30f+2dZ5QURRuFn5o8szmQcwZJAoIgoCAoihIVA2BEEUE+xYQJVAwYkKAoiIKIoqIEEUFQEQWRnHPOcXOc3PX9qN7ZXXaXIGwA556zZ2a6q6ure6fm7XrDvRV47otBHNl5jHte6F7kY71UENZWUHp9XpJXKZEJd+uy1OiigCnZtS1hLyIs2fURMnU4uP9EZk6F0usKtUhW82yGrB813z+ACUKeQIQ+Cp61yLRRSljxCkF02Sii9cXPkM8G0PuVO3JlWQEc2HKIkX0/BFRixE0P3ICUknLVypzZXdHAXB88ywlIXoW9jpDJSHMTpGcTWbItUktGhD6BFGaEqa7STLpMYYh4Gxn+Vt655FkLyU9kb7DdCa4f9A8ORPgrCKGIAaT/BDJ5IIp9IyUXK8ulhtvp5p+f1uD3qYeILUt3UPmqCgyZ+BgN2tTjyI7jbF2+818pNJT4FdSZiCoTmcc4AZStVjrw+nzHETzR4gVe6/Eecz5cgDPDlad9YWL57NUB4yQMgtgKMdzYuy2j+k1gWNd3MBoN3NqvA617tODg9iNUrleBPsPuDLhULkdorj+QCXciM748Y49XiRJmwbcTpD/H7nW5mxv0X1BDmcI1Tq7FkHinGp+xur7Vr9LchVkZXHMDyJyGTHr0bF1dljAYDJSrVibPA1xYTBiOcJWlJ6XkoTr/48Ha/2PS0K9Ys3BD0Q80cyYB42SsApiRxpqQdD8k94PQZ8ByA4iySC0OYe8RiBtejpBSoqW8jEzsi/SdUXvm20u2GxpwLSR7FZWRO+YkHHq5hB4/LUS8fNtIZn4wD0e4ndBIFZt0hDlo0KYeAL1f7knckXiGd32XJd9dWDZsiV9BnS+e+2IQXR7vRI3GVehd+XEAVs3fwMqf13PywGkeH/NgkY3lhruvY85HC0iJSyW6XBTTXvuer0b8EHD57dt4kNNHEvC6vfw2TZHM1r6mBh+vzquLczlA8x2F5MGAF5m2TVdDXYv0xyvlU1NdVbuh6S5MeTr7YJ1SKAsi/FWwdwFT7cIdtDeHC9F/UH9jAGHJ3p5Fx+Q9Q/H3CkZs+Wg+3zqGlPhUju0+gc+rHiZ+eP8nZo6ax2dbPihQhbdQEPKgkjdHgv8YpL1Erudq307w/KX+Mt5Vpix8JMJxR369lXjI9DHgVKsimfEFhL+CdC5ShMWYFSMLPqUBRVr2gSLkjPqxCIidB/4TCMvVhTrmLL29zFRnYFtOooLEE0kknVJeo/2bDtL+nvNPVrvsVlAFwWQ20aB1XeyhdkbMHUqXxzth0+s/QiKKVva5Yq1yzDw1mRFzh5L19JdlnADqXVc7j2vl8E6Vlp54MolDOVLUSzqkZwPE34IKZAPGmuDbikzsCylPQvzN4NuSbZxywtIWYctdQCqEEWFpXqgV8NJ3BOz3gYhBBd+zsqD8SNcSpFdlforwEWC/CxE5pqCurkiUqhhDzaur0fbOlvR/7z5a92gBgMliwuoo2iJqQ+hjiDIbwd6bbGX7HFlr1hs4M64p/WrlIb078rLil2Boqa9DxsTsDZYWyNS3IPU5SOwBqcNAOw55YqImCH8zT3/CWKZQjZMr082pQ3Hc92ovlZxmzV7vnD4Uz7LZq0hNTKNawyoMHv8IPf7XmbsuMFntillB5UTDtvXwenyUrhxLlasqBqjeixrfjpxNwrEkTGYjUWUiiTuagDDA3c91I7J0BF+88i171h/AarfwwOt3E38sgUcaPE1GSiYvf/tUIC1eetYgM79R7gvr9cVyLQXCu54AI4SlNSLyA/AdIfvHRDdc2HSf+beAH8zXYIieXOTDlemfINPH6gzqHrWC823Tx38DpL+DTDdCzGyEuR4iIu/E/6/AYDDQdZB60Gt8w1U07diIslVLF/1AfAfA+bV6b6ylklpwg7kxBvttaCJEZfNpJ8BUHxEyQDHnp72r5FxiFyEM6iFVpn+M9B9HhD1XKGJ9FwV3VhKBTWle2buiuXMmFujuPVNdlQTiV5LqhL+NIZ+EisKEx+VhQJPnOLbnBOVrliGqTEQg2csR4SCydDgj7hzFVdfVYdzfb9J1YKd/dZ7L3kDtWb+f7979kTY9rg0sHQ/vPMaLnd5A0ySPvtu3QBXbwkbzTk3YsXIP0eWiAnLuseVjqFq/MjNHz2PBZ4sBeGrSY9RvXYcDWw4H0tOP7ckmypWpr4FvD9KzBlH676K+jLPD3gt8e0CEI8KGKpZkSzTSfD14cwqouYBMiP4OXIvAUTQEpGdCenU5cE2/v74DYGkJphpKqsDzF+Av8hqSkoAfRv3Evk0H6TeyD6UqKt7IqcNmMHP0PMxWM9MPtTlHD4UEY0UwVlOGSboI0B5Z9YzC1LdBOwiGCojQxxCGcDSfnpSjxSkCWhxIz3pk+jgApKEMIux/RX0lZ4UIH47M/Bphvwth01XAw4aAawG5ipW9qyBqBvi3g+bE4Ohe5GNNT87guE7mfXyv4nRs0qEhbqeHPi/fwbTXVI2aM81ZYB/ng8vOQMUfT+SXzxdzTaerqXdtLT5+6gu2/b2T5XNW0e7u6xBCYNZz8TWPL49LYtmslfwyeTHdB3emxa2Fm6F136u9sNgtfP7C14FtSacUQ3RoVHZCxNj+n7J6/npen/M8T382gFOH4ug5JMcTkfkaZQQsFyb2VdhQ6asSQ8Q7ObZlAH7w5mNIXbNVYaFnuSqKjZ2LyBnzKQKIsKFqbaclq9onx70Y9NorKTUVgzJEFrrfviRg1YL1HNh8iG5P3ELC8SQmPf8VAI5wB//7+BEArA6drcViykXe7PP6+OTJL0hPyWDw+EcIiwrNe4JLBGEIhdj5yPgu4M+ROOCcibS2IbBK144h4ztB5KeIsKeRhgiEuRHCqPNeGqsoJn0tscT9f6X/FFiuxWBtnWNbPLiXkcs4qT2QdK9ev3cAiaYyT4sQ0WWjePqzAfw67U/SkzPxe3088VE/KtdV9EpV61fk79mradXt4hYHl52BGjdgEit/XsfM0fOYkziVlNOpgKI9Wv3LBlYvWM+WZTu4+cF2tOraPE9h2Pj/TSHxRBInD5wudAMF0KRDgwAXmtlmJjU+jU+e+oKJG95XrnPdE7Z/8yH8fj83P9iOb96azdzxC+n1bBeVZRU2HKQXtASk/2ShZ+WcC9I5X2nS+PVU8eivEJbGivU74Q61+jA1A9+avAf7dQYJ/wH1ZFvIBkr6jyPT3kOY6iBCH1dM6p5Vuqgb4F4MuoESwgCOnoU6npKC00fiGd71HTRNkhKfxi39bgx8HzNTncwa+zOb/9rG6cMJPPrufbTq2iyXEVq7aBPzJiqS0trNanDn04WbOSeECWm9HjL3KfesFgf+g8jUETqrxDeBttK7F4OtPdLWHZn5LYhIhPVahDEGGTURUt9DejZccne5lDJPavjZ23uRKS+CZ7Va0ZubImJUAa5Mn4RMH6XqCrGRbaTMKIMsAsk90re1SNhXFk9fxrJZK7h7aA/qXVsLg9HAlqXZCUTb/9kVMFClK5ei51MX73a87AxUtC4bEF02EoPBQGyFKI7uPk5IhINhXd4JcPAd2HI438y9azs35ZfJi2lxgRXN/xa1m9Xg+5OfYzAaWD5nNSP7jCOmfBRlqpTirme78v37PwGQmZpJl9D7KF+zLIe2KbaFslVLcUOvepA5C1yKu0pm1kaEPXNJxib9x5EJvQEvIvprhKna+R2XMTG7rgkVI8O7CelZDVJl62A4Q97eWF3VqZgbQcYkPRGi8OloZMbn4FqAZAHYblJP0cKWbaC0hLzHaGkIw5WtfGwLsRIS4SAtKYPoclEYDAKDEGhScurgKRZPz3bPVqlfkbue65rr+JpNqhJTPgpnmouG1191ZveFAkP4i8jQQcqFl/gAeFaAuSEi7Dmke0l2bV3Gh2iuWTpriRfpnIUou0m5d9M+Au9K8K5E2u9AmC4NvZjM/AaZ+ibSdjOGyLHnd5B3G7h+yvF5E5r3ADing0cphePbDiJad20CeMHWCxFyN/gOIz0rECGFz74ipeSDfp/g9fhIiU9jzNI38pAQJ59OyfXZ6/Gi+bWLUmYWWT/oJRHXXHONXLt2ba5tfp+fzUu3U6NxVcJjwkg4kcRfM/6heuMqvHzb23hcXsw2M3Vb1GTotMEs/X4FTTo2pObV2T++ackZjH/ic04fjuf5qU9QrnrhFiEe2HqYoTeNwB5mw+/ViD+WwGOjHmDDH1s4tO0IqYnppOsaVyaLCZ/Hh9Eomb0vA5vlEOBTLA1oiKjPEJYW53Ve6d0CwoEw1ch/v/NnZMrTgMpYE457zq/fjKnItHFgqqJX+jvJ1qBppt4LI3jXEngsN8RgKL3ivPq/lJCuRcjkp8BYGREzG2EIUYbZ9ZfS07F1QphrBdorluyfIOQRDGHP5+lPCLFOSlk8Qc1/ifzmEahV1OlDcYF6lfW/b+bE/lMknkhm2uvfYzQZsTrM9B3Wi1pNq3Ngy2FufaRDgGjW7/OzfeVuPn3mS65qVadQZW2yINPHI9MngLk1eJeBqTrYuig5FN9OVfujHc99kIgCvNlS6BjA3AARPf28XMxSOsGzXjGnG/KvVdQS71MrcwSizPbzUqyVWiYyqZ+KgxpKgX8XiNDscZpbqocpzwpyuflCBmIIe+qc/V9qvHz726xesIEHXr+bvsPuBGDjkq3sXrsPk9lEl4E3Y7aoB9NTh+J44toX8Tg9jFryWkDINQvnO48uOwN1NhzZdYy4owmM7DOO5NOplKoYQ9zRBMKiQpgZNwWDQWXVb166nWfavQpA75d68tCb9xbK+LPwwwfzmPTctFzbSleO5fTheIRB8OXuj5g/6Tf2bDjAtZ2bsnz2Ym7vu40bumSvUjA1UJMq5H4lS+5ZCaaqBfJtSddvyORBgBkR82OuH+FAGy0DmfoSSC8iYuQFp3Zrns16sSuodG2ptGiyqtvt94GlOfh2qQJYc/EoCkstHYQtX8l46Tus6IysHRH+Q8iUl0Cmgqk2htif87S/kgxUQZBSsu63zRzefoQJT6vCa4PRgObXuOvZrjz63n2BtiP7juOPb1S8cfqhCYUqawOgxXXSV+853V46rB0h7BlIHQnGSiB94Plbpz3KyNGuM8JcA0IeV6wmvh1gaZnv9wNAS3wEPEvB0hJD9LR820j3SmT6WPXAE3LhhlpLeiK3rpOxEmBWuk/GighHH6SIQWinIOT+YlF5llIRXxcUb1w2ayWnDsXRuntz5ny0kDnjFG/qoHEP033wrbnanu88uuxcfGci6VQyT98wnIyUTN79bTjrf99Csh6X8rhV+nNIhIPda/cRERtOueplqNmkGnVb1OT04Xiu635+q5GLQce+bdnwxxZCIhyUqRLL8b0nqVi7PN+OnIPUJA/VfZLxq0byyDt9Aeh+z3CQWUV4us/Zt1vVF3k2g4xXhXoiAkr9kb87SovX33hBJuc7LmEIQUSOK3DcWtpoyPwKEdJfxW9yQLr/hPRPszeYGiEiRymqItU7IqQPwlQduCX7OH8CMv0jhLk2wtG7wHNfSpypMZQTMuUZ8G6CjC+RMhkwgrllkZPWlgT8Nu0vxjz2KS06N+Glb57izXtGB/aZLEY8Tg2rw8qGP7ZQ/7o6WGwW2t/ThjW/bKB+67rElC98l60Ie0oVsFpvAu9GMNUC9+9qfrh/B38chlj1gKS5loErSwXZgiqHsIB7gUrSdO8B7++AT/HYRbye/0mz5pL/dP77AWFtibDmT+AqtURk4gOgpSKiJyNMNXPsS0dmfKWYybMQ9pJSlY7X540IQYT0yxNnkq4lSPdvCMeDCHMhF7YDQogCjdP+zYcY0UuRKn/37o+kxKVSunIsjdvX56b7/32s77I3UDtW7uHobuV7XvfrJpJOJQf2RZSK4NnJgzhx4BSDW76EzWHl821jKFOlFB+tHFlAj5ceUWUieXt+bi6s1MQ0vn9/Ln6fht/nZ/f6/VSpX5EjO49TKcaHYqAJQ7E5A4QCiaqaHt3XK9NAupDSikybqHzX9m4Ywl9C2rqD80f1FGmqgfSfBOdcsLZDmOucdbxSy4TMLyBzOsgMZOYP+nHKFSQ9m5BJ/XMcYUSEDUSYKiFl1pOqGXy7lAsGkJ6NyIxPVO2R5x+kE7C0Ou+4V6HBoD/xC0fAkIuINxCmwlOOLalYMmM5XreX5XNWk5aYhis9O9W+94s9qd28Jl+/MZOvRvxAm57X8urMZ2l5ezNmJ0wtsjEK260IW+6ncU1EQ7per+bbCoD0xynXWRZMdcG3GWWkdPebd2GOTlSqtOZLgORHVGwyciIGy1UQOhDS3gOrSv2W7j+Va9txD0KcPb4iPZtUHNS3S33OnAkhjyCM6nsn094GZw5tJGNlhP0O8B9DBmoIzUjf0UC8TKZ/rIrJ3csAN9J3GBHzNcUJR7gdq92C2+kJGNKKdcrz/BdPnPW4c+GyN1DNbm5Eu3tak5GSSYc+bTGajezbeJB9Gw/Srtd1tLy9Gd+OnAOoyuf05IwSIbfudfuy2SUE2EPtvNrjfdb8soEb7+nB0IkhKibk3YT0blSZcc4ZZBssIPQ5ECZk3M3ZfvfMLyH8JYR3tVLcBMichfT8rXzZmV/lqqWS3h3KNWFpHRAKlBmTIOMT1cBQBWQCMqEb0lABIt7JsboDTE3BdrNSnDVWQ4S/gUx+Bvy7VeynVCOEsQIy/QPdR6+TlxjKZRuHYoSIHAOedUhTA4RniXKn/AeNE0DvF3uQkZxBi1ubElMumqHTnmBM/08xmo206XktVa6qxLgBkwBIOJ5YzKPNAZljTogyaO61iqdPehQDhbEq2HtC5kQQZSDjI+XGxYSK74ZC+Aikcy6kPJfdV9qbEPMNOOeoGqzMyWi22yDpMUAiZCqEDs4eRsZkVasY9mxglSSTH1M0XyISDNGQOQWZOQ1paYOIGpdNVowJ7HepNs7vwfEQhL0KaW8pz0nqa4joz5G+g4FaLgyxoLnBfP76SoWFslVL8+mmUaTEpRJVNpJ1v26m7R3XXnS/l72BstqtvPzNU7m2fbL2Xaa99j0ZKRm4Mt30HHIbJw6colrDytRoXLVYxnkmYspFMXLhK0x8+ksObD3MyN5jiCqrXCQHd6RjCH9NNTRVQthvRzuV9c/2Q8gbIJwIe2dFNZQzKGzUWZxN9RVvl0xFetfpekeAnjmnuVcokTffUfCuUFlQ9p4IQ6gyKAAiDCI/gMRe6ljtGCQPAPs9uc+X8SHITKR3MyLyY4TjLmTam2CIySastFyP9KwCa1tFISTCCww4Fwa0tA+VVhUS4XgAYe+sxiVsYG2tnvouY0HCS4EGbeoxbvlbgc/t72lDjSbVmDHyR/ZvPkyVqyrx7JSBLPjsd/oMu/MsPRUtROgjSPyQ8RnI45D6OmqJDsJcC5FVFB72PJo/GdKzrtEE4a+BCEUYSiEzz3DR2VQhsLB2UPPDVBfSRqHc7h4QUUjpQ6ZPVOfL/AwAKezZ9FjGCspAWduBsQxkfAr4wPMnMm10YGUFPr3/4QEOFuF4AOn8VrkvTVX1/soqRQDfPgh7GWFuWKTM7acOxfHps9M4dSiOmPJRPDWxP9H671aFmuWoUFPFxG9/7NLIslz2Bio/rFm4kelvzgLAaDaxdOYKTh44jSPMTvt7WhNZqvB43i4ETTs2ouXtzTiw9TBSws33NSAz3cGtj3RA+k8i08erQkPHXcpVl4WM8cAppHMGIqRf4AuNoQrEzAVQLoRSS5AZ07InpIgEa3ukPwGSHkJl3ukrGvM1ys0FCEcvMF+lEgjSx+kURbMBv8qIcs7JHot/n3pC9W0H73pkXDslFmdpDsYygfiYCH0UHL1VVuEF1IpcCkjvDv2e6Z/TToBMR3o3IkIHF7mw2+WEyS9M55+5a/h9+lKO7DrOjHfn4HF5MZqNDP1y8Lk7KAIIYUGEDUbL/EqlY/v3g2OAyiS190K6FiLdfyn9KHKu2j2K3w6p4kwyRyJF6FAMerKDcNwJ9q7IhJ7g1WVZDFXAco2SpM+YoB8UAjgR1rbZY4uapr5/7iXg3Q2mJuDTPRvSlfuc0qf6xg9p7yLdyxDR36nrMTXQr9Wm5rh0BeibihIz3v2RZbNWBj5XqV+JjORMSleO5Z6h3S/5+S57sli/z88/c9dwfF82NVClOuUJiXBgtpjYs34fJw+o4KYr043H5S2oq2JByy7Z7BBRYd8y6K2j1GhcSRXCOr9Hpr6C5jsGkWMBuy5Hofzl+I+D7Ub1lAagHUJkufVQQU1hbYZ64kPFWDKmqIkbgAa2Hojo6YAfLWkA2unrwX8UMj8HzzJwzYXoeSBiQTsKMsu9Y4Pw4Yjob8DSQd/mBudMxWNniM51rcIQUuTGCVAZUcYqBL7u1jbI1FcUE0H6h0U/nhKKU4fi+HvOKrye7DlSt4XK/qxavxJfvf59YP5klUWUKFiv0994IXMqWNRnmfw0OGchU1/DYIoAc3vACqIUWZXy0n8METqQQHzKOT1X10JYwJxVO+kD7RDSOfOMQvMMiJqGsPdE82xGi+uITHxQtc/8DDxLwFQRQp4EhIoJZ8HUEBFyLyJ2kRobqExdYVcPqTmkZ4QwFItxArj6xgYIg8BkNmIPs5F8KoV5ExYx+cXpbF+5+5Kf76JWUEKIaGAGUBU4CNwlpUzKp91BFDe8H/BdyjTdKS9/y/fvzyUsKoTphyZgD7VTvkZZvtr/MT6vnw2LN7P5rx1El4tkyGePF3oa7IXiqlZ1GDptAMn7X6PrQwng/AapJSKs16kJAJDyEiL8WSQu0HJwW5kbqlWPqRH4k8FcS1eCzYYwN0AaK+sUMQLMTZWrzVRfrXrwg4hAxt8ChnCV0QbI1PfB2hq8WwAPOL9Q2YM5EfY0Bos6nwx5CDyKW7Ak0MhIfwIIA8IQpVPlLFBxPGEDfEr8zX8QtHQVN8ghmlgcKO655PV4eeLaF0k+nUKXxzsFqI7ufbEH7e9tTVTZSF669S22LttBq27NeXJC/3P0WPQQ4a8qqi3PX4ALku6DqElqhe/fC57VaM6fwVQavG6QOYq0rbcihVAPM/44hKNv3v7t3ZEBqXU7IHQ3dqSeYBMBrp/RUl8CLQ1kEnAYvFuz27jmg607yjBmpckbEDHfq9opUyWk9Tpw/6Gz7RfvGkJKyYn9pyhTpRRGk5Hr72zFnMTGqhZOwJpfNvLrl3/iCLezav56KtYuR3j0pStyv9irfwFYLKWsBSzWPxeE9lLKqy91DYkzXf2TPS4vfl82DX9YVChRpSPYt/EQfp+fxBPJvHHnKN66t+RJJ3Ts24E7nn8Ng1H/x/q2qwQJoaftelcgnb8T4EWy9VQyEFEfI1NeBvcvQAYYayIMoUjPWrT4zmgpwxSzhvVGVJqtRVXRJz+pJDDwAzZwfa9qS3TjBCg/t/Pb7M+uhXqxcHbcSOTQbDJYW6h6q+gfENYbLvk9uhBIz0Zk3A3IuBsDom9CmFV8TZjUk6ujN1huB/ciZOJDSC3lHL0WOop1LklN4nGqsgzXGQKfZauWxmwxcWDLYTRNsmPlbh6u+yQrf16XX1fFBmGIQkSNB1uWpIMG3l2KcBUACSkvZ7MyCLuq2wt7DWGuCYl9dPqgDLComK+WOhIt7hakeynS2FhfiZsAj0pISn1bN052IAWc3+mktpn6Oa3K2ARKPSS45ilOwMDAI3IV9orIDxFRkxCxc4vH45ADHw78jAdqDWZ493cD20LCHRhNRpJOJrNn3X5emTEEr8vLN2/N4pOnvrik57/YGFQ3oJ3+/kvgT2DoRfZ5QXj0vb5Uuaoita+pka/SrsWm3Ft+vx9nup8/Z/xD//fvo1TFkrWSwlQFpTRrgpBBalvY85D6IgDCGAVRX6jsI+stgS+u9Cdn9yEU9YjM/Eapb/r2Iu29A8HbbJgBIwiDyoCSKGOY9cBurJp7tWQom83+HfqUmnzmpiBsqnDS3AAR8R7CXDSUN+eC9PwNeFQWl2+fYirP2udajEwdpj6YGulbDQTcoMWHYp1LFpuFD/58na1/7yywbiVrLiWeSAbgy1e/o+XtJYvAWAgr0qgLKhoqgKM3QjiQ5ibg3QD4IexptWI2NwkUsEstjWy1WoEUMaBlqHILQGZ+BWIh+A/lPqGhHGiH9LmE/hAnsjMLrR2UgQq0rwTaYVXHGDERvKsh5BG01HfA/atSBLB1UkkVxQwpJRsWK/b/Xav35tk/dsAkVs1fT0iEI0Ax5/dqedpdDC52BVVGSnkCQH8tSCxGAr8KIdYJIc7qGxBC9BdCrBVCrI2LizvnAOwhNroNuoV61+ZmSshMczKw+VB+/GgBV11Xh+xMAlU7BXBgyyEGt3yRD/p9wpxxC5g67DvczmKSWfBuBzIBH0IfrMFxB0R8ACJWZQoZYlUdiG6cNO9e8GbTB2WRyAp7T/WEZr0FcrFDGFWw1VhZnUumK0NjagCOR7JXbP6D+mTWoZ1U2XiWNirTT4RC2pvItPfVyss1T+c9K35I/8nsAmJLG/UDkROGWAJf+wC/mYvCJq09D1zSuXSh8wigZpNqdB98KyERuR/0Vs1fR/fIB4gpH0VYdHah5vF9pwLvv3v3Rx67+lkWTl3ChCFT+XvOqvM6Z6HAowfxtbhA3FNETdFda0DqCLD3ysWuItM+JKcQojDYVJap7Q4wxCDsd6oVV6BBeaVNhUcdJ8LA1BDMLcCRg1ncfYZUhnZYuRFDBoKliXKhJ/WHzCngP4rMzB37Kk7MePdHju09idFkZPAnj+TZn8WLaraYArHJLPb7S4VzrqCEEL8D+dFnv3wB52ktpTwuhCgN/CaE2CmlXJpfQynlJGASKIqWCzhHLhzcepg961SNQZZuiRCCMtVK0bhdfQDmfryQnav3sjPH00FIZAi9nilcZuZ8YbtFd7H5QU+BBhAiFJm1mvEsg5xFtilDyRYxa4AUNmTmTOUu0OLAfwBhjEVaO4F7kZpEeiGj3jtYroGMSWq7oUwuQ46IVJNSO6GyjTxrIaEHUnOj6rF0n725gU7NUnyQGVORroV6CryaLMLSLC8nmqkWARcNPiAU7LcqqW1jFZUxWUgoyrl0qeYRwNJZK3Gmu9i9dn9gm9FspEOf7Gy1qcO+xe/T+Oy5r0hNSOPH8b8w8/TkQpXhKAgi/EVk+me51JqFIQQpUwGPYrCX6Wo+ANK7B5w5KIxCBijyV+uNasWkJaikobD/gWuW8iAYLODfk32MIQbQVCKEJx/OSVMjvVAYwKLqDD1rwKsz/ptbgP9IkbGrFIS0pHQ+eGQCRpMxoAkGcFXLvMX9NXR+0+S4VMpVL40z3U2NxlX5+H9TuO2xm6ha/+J/E85poKSUHQvaJ4Q4JYQoJ6U8IYQoB+TLBSKlPK6/nhZCzAFaAPkaqEuFOs1rcsvDN7Jv4wHKVC3N0d3HObj1CCf3n+bIruNExIYTd0QFSY0mA2abBU+mm0p1yhfmsAqEEBZE+LC8O6zXge020FLB1vWMnfpqT0SDP0EVFgLSWBWQqsZCS8heHUiXevIjTfGQuX4F9wrIInTVq+kx1oTwEYrlQaaoSnjpA9ePoLnUODyrECGPnjfBbGFCSg2Z9g7qCdiIiJqsVoH2XnkbCxMYIpWLxa//4LqXgXZS2WZzI4S5biGN8/KcSz2fvI1je05gMhmxh9nZunwn6UkZbP5rO6DE67JW9aFRIaQmpFG2ailsIUUrD58FYW6IiMqbnSlC+iO1JKX8nJMeTCpdMwBMjSFjMuCBHBme0r0CYb8DKfUMR0NpFWsyX6M8EJ5lObJjXQQoykIGIqxtlKfCOUsROHuWq2b+Q2BuAtKJiHwXkZWNW4xYNnMly+esBuCZyQMZ9OHDVGtQOZexykJ0uWxqqxP71dd16vDvyEx1smvtXj785+2LHs/FxqB+Ah4A3tFf557ZQAgRAhiklGn6+5uBERd53nPCaDLy9GcD6B71AHvWHwgU6JotJsKiQ3E73Uj9S+kIszNhw/v4vX7K1yheraUzIYQ1u+jvzH2RH4NrkU578kv2Dn8KmBog7F1UjU/4y2CqCZYWeqqsBs4fkb6Nqr2lI3h+V+9ttyMi3kWIrJhMDCLibbT0SWCsrkg1w4edF1tzUUEIA9LWGVwLlQvU2hqpNUSmjwdTbYT99hxtLciwYZCSo4YnS3JDRBYnu0WJnUs1Glel26Bbebv3WACqN65CelIGUbqL59ShOAxGA3j9tLytGbc83J7SVUoFmK1LCoSlKSJmRj7bm0DkRyrzM+21HHs0RcxsLKvYIQyREDVZeToc9+o1fSa0hF76asqkmCrkKcALUVMxBFLfAUcv8LdDppxSxcFhQxAlINaUE43a1Se6XBRGk4EmNzagTJVSbPprG58+O40uj9+c6/exbc9rqd+6DtuW7wpsc4TbyUx1UqXepZExuVgD9Q7wvRCiH3AY6AUghCgPfC6l7AyUAeboT1gm4Bsp5cIC+rukEEJQulIsB7cd4dCOo9za70Z6PduVSnUq8Ey7V9m8dDuV6lZg+A/PUKZy/vRH0p+ATB4MCETUR3lqe4oTwlQFQvuD+x+kdxXgUIkW8gT4ksA6VrUzREMuslcjmqWZCiILM4Q/DYmbQTuNMF8N0qnSsC3N1A+6dyekj1KHGjqUKOMEagUlwl6CiA+yk0fSP1G0MqBWRTmq7YW5DhIjWVmMIuJtMNcHQ0Rx/n9L9FyKrRCNECAlJJ5I4skJj9KhT1sObjvCE9e+iM/jo9ugW+g3sjcWW/5xiD9nLGfq8Bl06NOW+4bns7otRghbJwSg+baB8xcwVVAMDv59quBcX1ULa0uwtsx9sLWjUry2dQdLU0h5FkQkwlRLuQ/RAvyXMuMT5QYE9cBXwhBTLpIvdo7DEZYdbxve9V0y05zs23SQ934bnqt9/dZ1AwaqeqPKvDrrOTLTnFRreGnYLS7KQEkpE4AO+Ww/DnTW3+8HGp/Zpqgw9u836Fd/CAnHk1j9ywae/kz9UO9YpfzHR3cfp2LtszAJuJfoukYgXUsQjjsKfcwXCmG9DlFaBYZl5ixk6ouK5uhsP7bJQxR1UcgADKaayNgFykCZaqLFd1XaOrZuiMj3FUWLobQKOheTZMbZIJMHqbhCyCMQOkSllJuqKuNkiFb1XTkgTFWh1B9I3yGE5ZoCZRaKEiV9LjVsW48hnw1g9CMTST6dStKpFOyhdnat2YPPo+Kgh7YfLdA4Acwa8zPH9pzg25GzS5yByoIh4i2IUMwrWsJdijH9LN956VmvXIHChAjpizDVRJobquQk3yFkoi7lE/2VEuk0NdS/lxXOPj+LAUd3H2dwy5fweX188Ofr1GxSDYPBQIVaZdmz/gAVaub1Lj36Tl9adbmGiNgwKtW59C7K4p+ZhYyQiBAeevNeZo35mW6DFH39nvX78bqVL9lisyAMZ6k1sLZRqaMyQ/mZS6CBygnhuEM94YnIArnupNTlO0DPHgRhCM/+IffrsSjttL4vCmIXgkwvfrl5LUNlDZobZae1e5TPnMwZirAz9HkMof2Uf99YSrlmzoAwlgtSHF0gOvRuy5qFG0k8kUTH+1Qq+pZlOwP7qzU8e1C8Vbfm7FyzF5/Xz9a/dwSEEksqRPTX4D9xdvJg316UpI1XsaebagYY+qW2lkBmoF9lUgpHT31+RhQpF2V+2LvhADtX76VD37bYQ2zs3XCA9GTFEPJMu9ewh9kY+/ebfPDn6xzeeZxaTfNXHmjQunBitvAfMFAAnR5sT6cH2wc+h0WHYnVYcWe66TeyN0ZjwS4rYSyLzDJQOen7SzDOFWwVwgyRHyLdfyJC+uXdHz1ZrRzt2cZYaSoVfUbWmVDyBD+oh4bS/yCEHRExEpk5Dzy/AhLS30OaqiJsuRckUspiL3y8nGGxWRj+/TO5tmWpUYdEOHhgxNkTZqo1qAxS/R8ObD1S8g2UsKj6xLPB3h38R5XsxpklDdabFDEyGuSQCBHG4knEyonMNCdDrh+GK8PNvo0HeHJCf1r3aEHPJ29j78YDbP5rO64MF8/cMJzJ28dS55rcqtxFNZf+EwbqTJStWprPt44mJT4tz43PCaklgncPRLwPrp8RjsJV3i1KCFuHPD/ggX3mBmd1axQrAvVKZrLqmYTtZoTtZsVYnjEekIocNMf1SfdfyOT/IU11EdFfnZfUdxDnRp+X76Bxu/qUr1GGkPCC+eH2bjxA+ZpleHDEPTjTnXR6sF3RDbIQoYhqny5gn4ASkOWaH4RBYLaYcGW4A25Zs8XM42MeJCM1kyeufZGju44TfyyRY3tO5JJsf7vPWJb+sJLHxzwY8EoV2jivJMn3i4HUUpXAn+UahPkqpPQj429S9Q+OBzCEX0ipShCFBSn1OhZT/XxlBrS0MZA5TdWqhAzEEPak2p4yTNfTAhG7UFf6vXD8FyTfLxbbV+5m99p9dHqoPfYQG6t/2cDLt72N0WTk4zXvlBjJm/86ju45wf5NB7muW3NM5txrlVOH4hjZZxw7Vu3B6rAwadMoylYtg6Zp3Gq5B02TNLy+HqP//HdJpP8ZyfdLBZk6Alw/ATakCFVcXH49/VgrWOq5JEF6t6uaCkvJop+5lBDCkstdIrV0pJaOMJZS2YX2u7PlD5zfIUMHIlPfAN9hMDfTM/pKXvbUlYLUxDSeu/E1PC4vc8f/Qmaqk7Z3qqw3v89PSlxq8Q7wPCClF9x/g7lescdcCxMVa5WjYi0Vh9U0jbTENEAQERtOmSqlCIkMQfNrONNcLPziT9p0b8FnQ7+i+a1NSU9OL5JEl6CByoLIClhqiofOPR9ChqjMtlDFjSelN0d9UMmC9G5DJtwJ+CHyY4Tt0giGlWRoaeMg42MApLklhDyoar0M5ZWIo70XMuNLReAJiNAhiFzp9kFcapjMJiw2Cx6Xl6O7TwBwYv8pbn2kA7WaVqdpx0ZomoaU8qyx3+KETHsLMr9Rmaul/iwRWZ6FCa/HywO1niDuSCJCCB5+uzdNbmxAl8dvZu2ijVhsZjo92I7h3d7l4FZFaTYrbgrhMZeOtbwgXPZ6UJcKIvxlRc5qqqm+mJZWkDFGyS/LdLSUV5Cn6isXUkmEzEDV9aBYJy5jSC0d6V6BDHDlgXT+rKiMsj5LD2TmKLr0rkImD4DUVzGU/hNRZisidEgOoUJjQB8oiMKDI8zOx2veoUPf6ylbrTTla5bl5IHT/PL5Ypb/uJq4own0qfI4d5bqx/7Nh87dYXFAS1OvMoOc/HyXI47sOsbejdnJXYknk5g9bj5Hdh0LbNu38SBxR5TGm5SSyS9OZ3DLl7CH2Pg542vmpkxj+z+7A8apSv1KhEYVTQZi0EDpEMKiKG982xWPnSWL0dmr4hmu39RH92/FNsazQVhaICLHIcLfAnuP4h7ORUEm9UcmPYBMVjIJ0rUQmfK0SnJwL0Nqici4jtns61gBPUCvy2YIYVFBaqMep7LfjbAUWznefw6Lv17KyQOnadimHllh7ozkDHat2Uv8sUTSkzPYuGTr2TspJojw4YpVPPrLyzqZZt+mgzza8Bkeb/o8qxasB+Dd+z9iwpCpvNBJ0aIt/GIJ/2v1MkazWs2WqqyYVKSUpCdnYLaYMRgMlK1WGqPJiMls5PmpgzAYisZ0XNlr1/OE9J9SEhUia8kqdEqfEYpA1VgZHPeBdzXC8VD2cc55ik/L8XCxKVzmhMgRm7msoeWuw8rJIi0lCN/+bPkPx0OIsGfAt19xnAW0gPRDo7/VJbPrF8XI//NYNX8d2/7ZRVhUKGlJ6excs5cRc4ey4qe1XH9nS5wZKiYlhAjUUqUnZzBz9DxqNqlGmx7XFvMVgDBEQD7lF5cbUuJS8fuUVyXxhHqYs4cqSR6DURmYjUu2IKXE7/Xz8Zp3qd2sOr9/ragdW3dvEeir/nV1+GLnOIRBULZqQUT7lx5BAwUqiO7+lewFpYbwHwwQoWrx3dXKytQIDKoWSHr3IFP0mhDpR+jZYkFcPETkJ0jXIoRdGRthvQFpvkYxemRMgOjpEPIY+E8iQh/T5bjrqr8z+zKEgKEhoDR/ZOobYHAgwl66rJ+OSyKSTqcwvPt7aH4No0nNpbjD8VSsVY5ez3Rh+8rdPH39cKSU3Nb/pkAdzZfDZ/Dj+F8wGARfH5yQLzFpEBeOph0b8eyUgWSmOrlZT+t/8I17WL1gAycPnGbx9GX0HdYLr9tH/evqULuZSh7q2Dd/PbCsmjeA9b9vZva4+XR6sD1t72iZb/tLgaCBAggUtur+ZkMFpPV6yPxWxTp8O9R232Zk4sNQeoWiMhFhINMQxSw1cblCaongWgLW1rmypYS5ToC7LBs6c7t2Uun7hOUuGJXOn5Fpo8B+G4aw5/I/oXOOYmQHsLSG/0AiSVHC5rAQWSqcxJPJAXXrbk/cwt6NB9ixYje/f7008EQ/b8Ii3E43z00ZRNlq6ok8PDYcR5it2MZ/OWPbP7uIP5pA2ztb5nK/5SQoAPC6fXh1aqq4owl06NOWYTOy67h8Xh9v3TuWA1sOM3Ta4Dw6e1mYMGQqB7cdYdfqvUEDVdgQYUPB1gnpnAPuvxHhLyDTR+viYUZyiSQZwhXBKjYIG6piHiW1qLWEQyY/pcTlTLURsT+fta2IGIV0zlVqo/n1lfm1ytzLmIIMfTb/KndLM5WtKeyKHDaISwp7qJ2JG0exY8UuvhoxE6vDQpfHO/FI/SFkpjkD7QxGA5pfI7KUEtNs3L4+/Ub2JrJ0BKKIYhtXEo7sOsbTNwxH82sMGvcw3QcX7Oqv1bQ6L05/ktOH4+n5ZOc8+4/sOs7fs5XY5G9f/lmggWp+y9Uc3HaE5rc2uTQXUQCCBgol14ClKcLSNLBNejbqO21KptnSDGHriPQdBNdvSOcM8Kh/pEwfC7ELEabgSqqwIEzVEGFPFbzf0ReZfhpsnQukYBHm+lB6JWAoseUClzuiSkdwXbcWXNdNxS88bi9mqwnSoFbTavj9Gve+0AMhBHFHElgxby2v3zEqsLJaPmc1b/z0QnFewhWPG+9tU+C+ynUr0PbOlhzccjjgFswP/d+/nz7D7jwre8ilQNBAFQAR9gxYrgZTHcV+DUjXb5D2ulpPGXNydPkIuKCCOG+IyLEBF19OSPffyJTnwHw1InJ8gfIe0rMejJVUka799oDuk5YyDFy/IsJfRthzizwKUTwiev9VWKxmPlo1kj3r9tOq6zUBjaiXOr/FmoUbCY8NCxgngIzUzOIa6mWLSnUqMGbpCOKOJtL2jtxJJqMe/oR/flrDEx/1K9AwpSakcXDbERq0qYvRZAzwLZ44cIqHr3oKi83MyIWvEFU6ItdxhW2cIJhmXiCEMCmNGFNVZMYXaAl3IXOSxdrvBbKC7CKwmsoJKT3IjC+Rrj+KZMyXG4QhGuG4IxB/klJT98w5V4kIuheD/0S+x8r0T5GJ9yATuiC19Ozt0qsojWQS0jmzSK4jiLOjXLUyXH9nK1wZboZ3f5fX7ngfi13NnfDoUFrnyNw7svMYJw/mZW45uO0I346cw+nDcUU27ssJV7Wqww29WgXiTx6XB7fTzaKpS0hLTGfR1CX5HqdpGoNbvsgz7V5lwpCpufatXrCBIzuPsW/jQTYVU0lAcAV1DkgpkWnvoYpgjYjo7wADMqk/4NFbacjMGQhHH0VY6tuKCHsRXAuR6WMAAbHzlVaMZw0IG8LcsLguqURCammKCcN/TBVMe9aDwaGEBd1LkZnfIOx3I2zt9fa64dJSQDrJYloXwowMGQjuX3OVBARR/Fg2axUrflKcgEMmPcZN992A1+vlrbvHBtokn05l9YINtOp6DeMHT6Zc9TI8Nup+Xr7tbU4fjmfNwg2M/msEmWlO1v++mYZt6xERG17AGf+bWDpzBW/3Hke1hpW585ku/P7VUsrXKIvf7+fzodNJOp3MwDEPER6jVq+JJ5IBiD+WmKufNj2v5a8f/sFis9D8lquL/kIIGqhzQgiBtHUB13zlRtLjVFKe4Yqw90H6DgeYC6QhFmFupO+0gnAgXb8jkwcCBoj5Psf+IPAfUH+gjJR2EjQvpL2N9G0H/xGkdxfC1h7p2QDGShAyEGG5GmHMrYZsCHsKzhKvCqJ40OTGBpSqFIPBYKDZTY0pU6UUv3/9V642VruFNj1bMGvMfP6ZuwaAdndfR0SpcE4fjic8VtUqvnXvGFYv2ECtptX4ZO17RX4tJRlrFm7E7/Ozd8MBruvWnOTTKfw88VfKVI5l5uh5AFSpV4m7nuvK718t5f4Rd5GZ4uT2ATfn6iemXNS/JoO9VAgaqHNAaskIUy2Ino6wXJ29I3ISpA4D7QiIaIRDZ28wNQDfToT1BpVxZqoBhlIIY3lklrAeGmjOM0/1n4KUbsj4EoxlVZzI1FAp4voOgeN+cP+pDJapOhhiwPkNCCPayYaAF9DA/gDC2q54LySI80bc0QR6DO5M5/4dA/GL9ve2Yf/mw/z40QK8bh9dHu9EdNkomt3cmB8/WkDpyrFUqlOed38dxo6Ve2jcTolUZqaq+ZOR+t+eR6AYI5b+sIKO911PpToVuHtod5LjUqhzTU3qtayFwSAwW83Ub12HmPJRpCakM3vsz3z/wVzSE5VA4edbRxNTLqqYryQvgnIb54CW/KxiORd2ROlVCJFdpyGlBO8GMFVF6PLNmnsD+A8g7N3yBPellCp1XToxhD5apNdRHJCeNSA9iDOSIABk+iRk+igARMzsgJS89J9Gpr0PxgpK50lXzdX8iRB3Rr2F5UYM0RML9yLOQFBu498hLSmdu8v3x+v2clv/m3hqYv9c+1PiUzm6+wRXtaqNEAKf18fvXy+lav1K1G2RN9U5/lgCc8Yt4NouzWjU9qqiuoxigSvTzYqf1nJVq9qUqVIqz/77agzi5IHT1GpWnU/WvBvYvmz2KpZ89zc33HUd9VvVJrZCDF6Plx/HL2TSs9Ny9TFlx9hCkWwvCEG5jUuFLLlwEYaqicqGEAJypqb7jkJSH8CnaHpCB5zRmQsyPgXtFBINEfpYYY68WCE9a5CJfdSHyAl5xRGzVEWFHURk9nEZk8E1V32wZYuhGYzRyNCnVQKF/wCgwRUkIHmlw2Qx4QizkeL2EhGblwU7IjY8Vyxp+puz+PqNmZitZr7a/3Gep/tt/+zm+1E/MW/ir3y2ZXS+P9xXCsYO+JTFXy8jpnwU3x75NE8ZRenKsZw8cJrSOo9eFt5/cDzOdBdxRxK4YcXbgBIlvOm+69nw+2aO7DrOyQOniSkfRcXaxa/ymx+CBuocEGEvgPV6MNU9d+2MMADqyyOdc5EZU8F+O4bwV9A3ghav3voPc76CyTJjCtL1ByLs6Vy1WsUF6VkH3i1gv1OXgj9jv+8w0rsrxxZPnjbCfjuYqoEhMrdEfeCBIDwHw4e+KXQAInQA0rsb8ARWXUGUfNhDbHyy7j0O7zhG047nThDKykaTmsaQ64eh+TWemzKIxu1UgfWJfYqL0ZnuIvl0ynkZqNSENEb3n4g91MaQTx8LKMkWF/w+P79M/oOY8lG06pJ3MSGlZOvfO0lPVvFun8eXr9T6mz+/yJ51+6l7RlFtZJkInOkuKtXJbXwiS0Xw9oKX8fv8bPpzG9UbVykS+fZ/g6CBOgeEMCkDdT5tjeUhZgYy43NwLVAbM6chQ/+HMIQrN2Dkx0jvRkTIg4HjpJTg+QuMVRCmarn6lNKNTHtHvU8fj4ieckHjl9INaIgchKsXA6mlIBMfADzgO4CIeF3fnoHM+BSEA9I/AVyKRNfSBKw3oqW+pcQUw15U/HjohbNnwr1MP1EqBVVBCHPtS3ItQRQtSleKpXSl2HM3BHq/0pNKdcszfvBkTuxT5ME/TVgUMFA9nuyMz+sntmIMdZrXDByXcCKJnav20PyWq/MYoMXTl7F8jooDX9etBW17XhgxbXpyBo5w+yVj8p778cJAaveEde9Rs4ma+9tX7OLPGf/g92v89PFCIkqF8/iYh7imU2P2bz7E9Ddn0arLNdz8QDtAGf9G1+d2c548dDpw33LWmeWE0WSkaceSnagVNFCXGsYKqNuqP5FYOyEM2a4LYbsRYbsRACl94JqvstKc3yganlKLA/EsUIWl0toB3H8ibLmzbM4F6Tusixh6VZKH+eJ89VJ6kFJTRkh6wJDDVZM5FTLOiAcZIlVxc/pH4NuttpnrgaNP/v37j6mYHqgVq6FoNGeCKHkwGo1ElAonPDaclPg0rA5L4AcZwGq30nfYnYHPJ/afYsMfW5n+5kxOH46nQ9+2vDDtf7n6vPrGBoTHhGELsVLv2ppcCL5/fy6fDf2aJh0a8t5vwy/q2gAy05yERKhEEZPZiC0ku4D8jbtGE38sMZCxmJ6UQeV65fmg3ycknEji1ME4/vlxNe3vbR0ofD4Ti6Zk1z1d0+nqix5vcSFooC4xZOo7unS8CWIXYzCVK7hxxiRFk5RlzKRb/fCDKgp2LQDbrRiiJqgi1vSPkEmPq1WISekcSelEpo0BEYIIHawMgXcL2G9XDOwyWfXt3QQXYaCk/5gydtIFEaP1+FtbNN8RcC0CoccIRDiEDkHgQhprQvpovQcjCAuYz6LJJL1k8R4K2225d2npyKRHQEtERH2CMF3YD0wQlxcy05y8fNtIvG4vrXu04NWZBfAr6nim/avEHUkI6Bpl5sju+3PGcpJOpdDl8ZuZeXoycUfiGT94MhVrl6ffyD6Bfrev2MXPn/7GTfffwNXtG/DX9/8QHhtO0w4NWff7ZgA2LdmKz+vDZP73P52zx85nwtNTufrGBry/+FUiSoVTsXZ5/p6zCmeak4p1yhN/LJGr2zegesMq1GlRk4VTFrN9xe5AHw3a1ivQOAF4XF4AzBYTzW7KvUpaNX8do/t/SpMbGzB02uAS696DoIG69DDqlPSGaIQx+uxtAy4sCRgh/NVsVoXk/4FvF7gWIGLng/9gtry5oTQi4nWk9CIzf1CrF0Ca6kDqi0oJ1LtVqQQ7+ijDZ8tN+aOlvQfOn1Rcy95THe9arBjBbZ1UIoJ7JSLiLYStI3i3KnYHQPiPgqMP0rcTEu4G3GCoAGGvgKUphqzYkJaKNFYG/2HAD45+Z40bCVNViJoK/iN5RRe9G8GrRNdw/QahQQN1JcNkMRFZKpy4owlUql3+nD+iRl3fyO/1U656GZ75/HEAtq/czVv3jg206/G/zswet4DlP2bVWLWmZpNqeD1exvT/lIPbjrBh8Rbuf+0uRj86ESEE41ePpN/bvbE5rLTq2jyXcUo4kcSwLiMBeGPei8SUi0LTNEY/MpE96/dzzwvdmfLSN0SWjmDkwlcIjQxhzSLlJdi0ZBtvzX8Jd6abaa9/z1ev/wBAr2e7cm3npnQd1AmLVbkpneku/p69KsAS/8qMIWe9Hw+8fhflqpehWsPKRJfNnWCyaOoSEk8ksXj6MgaMfiBA2lsSETRQlxgidAhY2yKxKAVYU11E6FPItHfVj3zIAAw2nRMr5FGl3pv5FeDPlcKOIRbYpb+ist5MdcC3H2Ftg3QvRyYNUDVCmBWprak6gUxDYVSqsuGvAiD9x5G+BJBuZMqz4NsJSGTmdwh7T6T0IVNfVdmHGZ8EhiGdPyoDZW0P9t4q0cPeA5kyNDvbDlTyR9qbgAktZACGMBV3I3o6MqEbaGkIS7Nz3z9rSyAf+n5LMzUGLR7OWF0FceXBYjXz8dp3ObLzGEd2HeeFW96k7yt3EF0uig8HfU5UmQgGjn2IsCiVpPPBn68ztNObHN11nKRTyYGMwLCoEMwWE16Pj+iykQA0u6kRP328kLLVy1C+ZlnefeAjfv9qaSAGVK9lLYwmNY+EULGaGo2r8vqc55FSsmf9firWLsdPn/zKrDHzSDqlVJzXLNzILQ+1Z9X8dQFqoR8+mMfJg3GcPBjHjlV7aN7pah5+qzcmi4mWtzUjNT6VRxs9Q3pSRuDaZ384H7/Hzw8fzOPNeS9Qq2l12va8lsfHPMT4wZOp1rBy4LoLvH82C7c/lr+cTLdBt3J4xzEat6tfoo0TBA3UJYdyfTVHprwK7iXgXoI0Xw2ZenJD8mo0xyNK18hxH1huAOdcMJZHWm/NzuxzPKziMVoKUstUir0xPwEehLCipb4DuJXEhKEcGKLBOR+ipynF2RzxKundrseiJFhvyda3MpRFOB5Q7z3/ZCvYmq5WRLmeFYiQB5AZU5HuvxBhQwLsF9K3PfeFm5uB9x/ABxnjkaEDlIE0loHYxUjtFDLtfaRztlqV6cZY+k+AIeac4oFC2BFRn17w/yOIyxdRpSOILBXO8x1H4Pf58Tg91GxSjXW/bgJg7cKN3NinLZpPo987fajeqAoJxxLp9Wy2t6BSnQq0uaMlS2eu4PRhlUHb/JYm/Jj8JSaLCYPBwD/6airuSDxlqpTC7fTgCLczYu5QwmPCqNG4aqC/jwZ9zryJv1K9URVOHjxNZqoTW4iVmk2qce1tKsN2YY74T5cBN7PwiyVElQ6nWoNKvHH3aBxhdoZ9/wwWq5lt/+zKZZxKVY4l+WQyfpQK7o/jf+G5KYMA6DboFlr3aMG25Tt59sbXuLVfh4Dek8flITUhjdgK5xZ7bNyuPp9vHXPh/5BiwEUZKCFEL+A1oB7QQkqZbzWgEOIWYBzq8f5zKeU7F3PeywHCer0iKzXVULVSxlrg36N2Zn4NuJDerSppQKaCLxUhkwFdTtmzHGSmiiP594KhkaJdkmZkxhQVz7G0B99m0E6oP982hMGOOKP+SqaNQTGuA4YQEGVVcXH0JISwqQJi7y5dgNGnWMAtKlYkpTNQzyQT1iNNNRDRnyPC30amj1eS97bbECEPI1NfB/fvYL05t8GRqcp4uherz7ablf5W+mfI9PeVHHvMLCV78h9FcC7lDyEELbs0Y/mc1bS8vRk1m1Tjp08W4ff5SY5LZfbY+QA4Iuws/WEFALvX7cvVx6qf1+H3+ln8zbKA8bLYLJzYf4p5ExbRdWAnNizZyq7Ve0mJT+PUoTjWLNzIjOOf5WLwTk1IY+EXyvgc3nmMdr2uY82vG7n/1V50Hahq9uKOJqD5lRuuQZu6dHqoPbf2UzWAs8b8HBjjXz+soOeTnXlwxD08Nup+Fn+9FITgyQmP4vX4GPvYJJJOJdPu7uwid03TSI1PY9pr33N4xzGO7jpOpwfb43F7GXjNUA5tP8rg8Y/QdWD+mmmXIy52BbUV6AkU+GgrFJ3Cx8BNwFFgjRDiJynl9oKOuSJgvVHJkmuJCAyIUvPRMr5R8RXvTvAuV3Ely7VgrAjm5kgtRdUFCQvCcS/Suw6M1ZGaGzzrEJZmKlHA87c6h/0O8CTkPq8uDZILWhYJpAmc3wMG8CapZApLc3D/BunvqyYR7yMsjZHSCVqSomiytNHP6QTfVvCsVSwP0Z/lOo2IHJXn1NKzCZnYG5AqgcIQDmYlciazMvZ8O5TrUPyns/aCc6kAPDbqfuwhNpWw0LER3xyZwIx35hJTIZovX52Bx+lh9pj5dOjTlm3Ld9Kx7/WcOHCKctVUPPjBN+/hl8mLuXtod5bNWslV19XB6/bSv/EzuDLc2ENtlKtRJtc5Q8Id2ENzq/uePhKP162SDyw2E79PXwoCfvtqKbf1vwmjycjoRyewdtEmQqNCGP3XCIQQJJxIwhZipXH7+oREOHBluHGmOfl54q88OOIe7ny6C3c+3SXXuSZvy7vCGf/EZOZN/FXxGRoNAeOVkZLJ4R3HANi+clfQQGVBSrkDOFcAswWwV0q5X2/7HdANuKInFd41AeJYjGUhdACGkN4AaL5jEN8B0FTWnbUjaOmQcBtSREGpRcjM71TmnXc/uOYgARn5ebZxQqh076z3ttvAdnsghT0LUkuE0EHg+gVkur6K0QC3kgixNAdDKbISNoSxPFK6kPHdlAENfx1D9BSVrZfyHIhQsFxX4GVL316QEmHWiwb9h1DceUDYaxgctwfairDnkCIUYW3zn08pD86lgjF12Hf88c3fLJ6+jFZdmhFdJorHxzwIQGp8KjPem4vb6cGd6ab3y3cw7vHPSEtM58bebXl+6iB+GPUTcUcSmDZ8Bkf3nKB8jTL0+N9tuDKUhlt4bBhet/IwlK9Zlms7N+WeF7tjc+TWDrPaLTz01r2cOhjH4ulL1UYJO1ftISU+leiyUcSWV4lRMeWiEEKwYt5aXuv5PuExYUzaNIpZcVP4/aulfD9qLrf1zz9GBKp2aevyndRoXJXQSDU3Dm4/AiiDtNDzXeC7ElU6giGTHmPr8p3cN7zXpbnpJQRFEYOqABzJ8fkoUGCFnBCiP9AfoHLlyoU7ssKEsbJKvZZpcIa0hsFUARk5AelaBK7ZKtZk0H3HMgmZORcyv9RbpwWOE3iRIY+AcyGEPIZw3KncY8ayCGteoyH9x5DxXUFmqPiNuQkyfbJasfj2IF2/qzotSxOImQdoCHMdpP+UMk6A9G5BcC8GUyWI+Q7pj0MmdEfKDETUtGxDBEjPBn21pKniZFtnpXDrPwoIsCspapk5G+n8DhHyMIbIIBP1BeC859IVM4+Aei1r88c3f1Plqoo4wnMXnN/3ai/CosP4e/ZK/p6zmuVz1yA1VarwxzfLaNKhAXFHlJch4UQSAK4MN617tGDxN0vR/BqvzX4en9fHqvnraXtHy3xJU7PqoCrUKsdnWz6gY9/r+e2rvziw+RDxxxP54pXvGDLpMZ6c2J8Ofa+nxtVVAdizbj+aXyP5dAonD8YRVSaSTg+1p9ND7Vk0dQmdbffSonMTXpv9fK7zjR0wiYVT/qBCrXI89Oa9tOp6DU9NfIyfPl5I6x4tEELgdrr54JEJZKRk8uzkgQFX4pWEcxooIcTvQNl8dr0spZybz/Y8XeSzrUCGWinlJGASKJLL8+i/REIYy0KpxSDdCGPewKWwtQdTDaT7N1Vb5HgUMj4EDAhrK6Srtoo/WVoi7Pfox3RQnHZhOb7Mjp75nl9Kn6qlksrAydS3ECEDMIQP0ZMmuoN2DOmcgTC/ouJEOtuEMJZBOh5SiRP6uQPwbtTTxlFxshwGSiVZ6FXr6eOQGVMQpf5ChA7MPbb0UaDFI9PGIHLw7V3pKMq5dKXMI4DuT9xK6+4tiCgVnqf2x2q3cvfz3fD7/OxcvZfqjapQuW4FlsxYTvNOV1O1fiWMJiNSSgaOfRBnupumHRtSqmIMH60Ymec8+cGZ7mTfpoMAHN97gld7vM//Pn6EpycNYOyASexcvZeFU/7gzqdvp3TlWJzprsCxXQd1Yu2vG4ksE0m9M6iI/vphBV6Pj+U/rsGV6c61Yos/lhA435t3jw4Q7D7xUb9Am3W/bmbJt8sBxZJxppvwSsA5DZSUsuNFnuMoUCnH54rA8Yvs87KA4qkrOB1UmCpDqT9AehHGWGTIQ4BUyQIx34HvMJhqnVchnXQtAUO4ilNpSciEO8B/WhkY9x/gP4hMHYZw9NQTN1qCbx/CdivS9Ssy+QnACDGzwFQTMqcDHsUOYclOO8faFmy3K3fhGXLqWG9GhL+OdM0Hz2q98DYfmhVbF8j8OiDR/l9BcC79e5SqePbstN4v9aT9va2JKReFxWZh6FeDMRpVqvhX+z9GGETA/XY2pMSnsmbhRprd3Jio0hH8/vVS3n9wPJWvqsQNvVrx1w8rWPPLBmZ+MI8nPupH+3tas/zH1VRvXIXyNcvyao/3WfPLBupeW4uPVrzN8jmr2bFSJUetWbiB5rc0yR7ziz3ITM3k2s7N8rgTh0wawM8Tf2XOhwtwZbjxuPPyWdZrWYsKtcqRkZJJs5vPUgB/GaMoXHxrgFpCiGrAMeAeoHcRnPeygDBkZwkpQyT09zY4T8456fwRmfK8OjZmjko48B9VOw3RCEdfZPpoVUeEok8S0YpuX/Osg+Rn9Z78yvBgUpRN/gNgrJJ7vMKGiBxNfhBCKIZxew9w/gjm+rmuLwuG8Bch/MXzurYgciE4l86CrKQIIGCc4NzGLSde6/k+W//eSd0WNflo5UjW/bYJTZMc3HqY4TOf4dCOoxzddTxgEBq3q88PJz8HYNQjn7BmoUr8SU9KV2OqXgaDQWA0myh1Bg9hgzb1GLvszXzHUbpSLA+/1Zt2d7dm2/KddOiblw80qkwkU3d9eN7XdjniYtPMewAfAaWA+UKIjVLKTkKI8qgU2M5SSp8Q4glgESo1doqUcttFjzyIbMicqxQfmJuqImD/MYSjL8IYCyEP5E8Ym/w0oLsk7L0RlhbqfcxMXTDwwqXphbCB455zNwwigOBcKhnIIlbNeu3z8h0405xc1aoOlWqX59ONo/B5fHmIaE8fiQ/w3wkBb/z0AgBNOzbi821jsNgs/0oSpHqjKlRvVOXcDa9QBAULrwBIKVWWniEiX3HAs0E72QhloASUWoXBGHlh5/btV7EkS3NEyP0XdOzliKBg4ZWNhBNJrJy3lmtva3peRa9Z+OuHf3jzbpUaXrleBSZvG3vB55438VfW/baJB0fcQ9X6lc59wGWM851H/93KyCsKLqTzO2TqMKT3AjOOQ+4DrBAyMI9xkpnfoaW9h9TSCzxcpn8E7kXItDeR/oQC2wURxOWAQ9uP8vUbM/nkqS/w+/OXqcgPjW6oT6W6FYgqE8Hwmc/m2pccl8LEp6eyePqyAo/PSMngo0Gfs3zOaqYO+/Zfj/9KQ5Dq6EqAdxt4VgIgXb9ckKyGIew5CHsuz3bp3YFMVbICEgsi7Kl8jxeWVkjXApXunk+8KYggLif8Nu1P4o8lsmzWKuKOJFC2aunzOi6qdARTto/Nd9+0135g3oRFCCFo2LYupSvndfXZw+zUa1mL7St207TjlZnw8G9Qol18Qog44NB5No8F4gtxOP8GwTGdH0rimCD/cVWRUl5W+uLBeVRoKInjulzGdF7zqEQbqAuBEGJtSYsNBMd0fiiJY4KSO67CREm85pI4JiiZ47rSxhSMQQURRBBBBFEiETRQQQQRRBBBlEhcSQZqUnEPIB8Ex3R+KIljgpI7rsJESbzmkjgmKJnjuqLGdMXEoIIIIogggriycCWtoIIIIogggriCEDRQQQQRRBBBlEhclgZKCNFLCLFNCKEJIQpMXxRC3CKE2CWE2CuEeKEIxhUthPhNCLFHf80rLKPaHRRCbBFCbBRCFAoHzbmuXSh8qO/fLIRoWhjjuMAxtRNCpOj3ZaMQYngRjGmKEOK0EGJrAfuL/D4VJUriXArOo0syriKdS4U2j6SUl90fUA+oA/wJXFNAGyOwD6gOWIBNwFWFPK73gBf09y8A7xbQ7iAQW4jjOOe1A52BX1D06S2BVYV8b85nTO2An4v4u3Q90BTYWsD+Ir1PRf1XEudScB5dknEV6VwqrHl0Wa6gpJQ7pJS7ztEsII8tpfQAWfLYhYluQJYU7pdA90I+X0E4n2vvBkyTCiuBSCFEuWIeU5FDSrkUSDxLk6K+T0WKEjqXgvPo4sdVpCiseXRZGqjzRH7y2BUK+ZxlpJQnAPTXgoi8JPCrEGKdUNLclxrnc+1FfX/O93ythBCbhBC/CCHqF+J4zhfF8T0qaSjqexCcRxc/LihZc+lf3acSSxYrilhq/nxxtnFdQDetpZTHhRClgd+EEDv1J5BLhfO59kK5P2fB+ZxvPYqjK10I0Rn4EaiV56iiRVHfp0uOkjiXgvPoonA5zqV/dZ9KrIGSJVQe+2zjEkKcEkKUk1Ke0Jevpwvo47j+eloIMQe1ZL+UE+t8rr2o5cPPeT4pZWqO9wuEEJ8IIWKllMVJfnnZy6yXxLkUnEeFO64SOJf+1X26kl18AXlsIYQFJY/9UyGf8yfgAf39A0Cep1MhRIgQIizrPXAzkG/my0XgfK79J+B+PbumJZCS5VYpJJxzTEKIskIIob9vgfp+FrfIVFHfp5KIop5LwXl0keMqgXPp392nosryuJR/QA+URXYDp4BF+vbywIIc7ToDu1EZLy8XwbhigMXAHv01+sxxoTJvNul/2wprXPldOzAAGKC/F8DH+v4tFJDBVcRjekK/J5uAlcB1RTCmb4ETgFf/TvUr7vtUlH8lcS4F59ElGVeRzqXCmkdBqqMggggiiCBKJK5kF18QQQQRRBCXMYIGKogggggiiBKJoIEKIoggggiiRCJooIIIIogggiiRCBqoIIIIIoggSiSCBiqIIIIIIogSiaCBCiKIIIIIokTi/1GETDoHjrHbAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "hc_dataset2 = cluster.AgglomerativeClustering(n_clusters=2, affinity='euclidean', \n",
    "                                              linkage='complete').fit_predict(dataset2)\n",
    "connect = kneighbors_graph(dataset2, n_neighbors=5, include_self=False)\n",
    "hc_dataset2_connectivity = cluster.AgglomerativeClustering(n_clusters=2, affinity='euclidean', \n",
    "                                              linkage='complete',connectivity=connect).fit_predict(dataset2)\n",
    "cluster_plots(dataset2, dataset2,hc_dataset2,hc_dataset2_connectivity,\n",
    "             title1='Without Connectivity', title2='With Connectivity')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Conveniently, the position of each observation isn't necessary for HC, but rather the distance between each point (e.g. a n x n matrix). However, the main disadvantage of HC is that it requires too much memory for large datasets (that n x n matrix blows up pretty quickly). Divisive clustering is $O(2^n)$, while agglomerative clustering comes in somewhat better at $O(n^2 log(n))$ (though special cases of $O(n^2)$ are available for single and maximum linkage agglomerative clustering)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## An Example on a Dataset"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Load Data\n",
    "<b>About the dataset:</b> This is a small dataset that has information on about 50 animals. The animals are listed in classes.txt. For each animal, the information consists of values for 85 features: does the animal have a tail, is it slow, does it have tusks, etc. The details of the features are in the predicates.txt. The full data consists of a 50 x 85 matrix of real values, in predicate-matrix-continuous.txt. There is also a binarized version of this data, in predicate-matrix-binary.txt."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(50, 85)\n"
     ]
    }
   ],
   "source": [
    "samples_features = pd.read_fwf(\"data/predicate-matrix-continuous.txt\", header=None).values\n",
    "print(samples_features.shape)\n",
    "# 50 is the number of samples n (number of animals)\n",
    "# 85 is the number of features m (number of features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(50, 85)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "samples_features.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['antelope', 'grizzly+bear', 'killer+whale', 'beaver', 'dalmatian',\n",
       "       'persian+cat', 'horse', 'german+shepherd', 'blue+whale',\n",
       "       'siamese+cat', 'skunk', 'mole', 'tiger', 'hippopotamus', 'leopard',\n",
       "       'moose', 'spider+monkey', 'humpback+whale', 'elephant', 'gorilla',\n",
       "       'ox', 'fox', 'sheep', 'seal', 'chimpanzee', 'hamster', 'squirrel',\n",
       "       'rhinoceros', 'rabbit', 'bat', 'giraffe', 'wolf', 'chihuahua',\n",
       "       'rat', 'weasel', 'otter', 'buffalo', 'zebra', 'giant+panda',\n",
       "       'deer', 'bobcat', 'pig', 'lion', 'mouse', 'polar+bear', 'collie',\n",
       "       'walrus', 'raccoon', 'cow', 'dolphin'], dtype=object)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "classes=pd.read_fwf(\"data/classes.txt\", header=None)[1].values\n",
    "classes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to make the real_value array data (samples_features) clearer, I put it into a pandas dataframe. Please notice how all the animals differ from each other. For example, notice how the dalmation has the column spots at 100 and the other dogs have values around 10."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>black</th>\n",
       "      <th>white</th>\n",
       "      <th>blue</th>\n",
       "      <th>brown</th>\n",
       "      <th>gray</th>\n",
       "      <th>orange</th>\n",
       "      <th>red</th>\n",
       "      <th>yellow</th>\n",
       "      <th>patches</th>\n",
       "      <th>spots</th>\n",
       "      <th>...</th>\n",
       "      <th>water</th>\n",
       "      <th>tree</th>\n",
       "      <th>cave</th>\n",
       "      <th>fierce</th>\n",
       "      <th>timid</th>\n",
       "      <th>smart</th>\n",
       "      <th>group</th>\n",
       "      <th>solitary</th>\n",
       "      <th>nestspot</th>\n",
       "      <th>domestic</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>german+shepherd</th>\n",
       "      <td>43.54</td>\n",
       "      <td>15.88</td>\n",
       "      <td>5.0</td>\n",
       "      <td>54.16</td>\n",
       "      <td>26.82</td>\n",
       "      <td>3.12</td>\n",
       "      <td>2.5</td>\n",
       "      <td>0.38</td>\n",
       "      <td>48.78</td>\n",
       "      <td>11.59</td>\n",
       "      <td>...</td>\n",
       "      <td>3.75</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2.5</td>\n",
       "      <td>57.44</td>\n",
       "      <td>10.00</td>\n",
       "      <td>57.53</td>\n",
       "      <td>12.50</td>\n",
       "      <td>35.11</td>\n",
       "      <td>16.53</td>\n",
       "      <td>68.55</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>collie</th>\n",
       "      <td>10.13</td>\n",
       "      <td>41.37</td>\n",
       "      <td>0.0</td>\n",
       "      <td>47.27</td>\n",
       "      <td>3.75</td>\n",
       "      <td>8.00</td>\n",
       "      <td>0.5</td>\n",
       "      <td>0.00</td>\n",
       "      <td>37.00</td>\n",
       "      <td>9.09</td>\n",
       "      <td>...</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>5.25</td>\n",
       "      <td>43.09</td>\n",
       "      <td>42.17</td>\n",
       "      <td>0.62</td>\n",
       "      <td>45.99</td>\n",
       "      <td>18.57</td>\n",
       "      <td>79.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>dalmatian</th>\n",
       "      <td>69.58</td>\n",
       "      <td>73.33</td>\n",
       "      <td>0.0</td>\n",
       "      <td>6.39</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.00</td>\n",
       "      <td>37.08</td>\n",
       "      <td>100.00</td>\n",
       "      <td>...</td>\n",
       "      <td>1.25</td>\n",
       "      <td>6.25</td>\n",
       "      <td>0.0</td>\n",
       "      <td>9.38</td>\n",
       "      <td>31.67</td>\n",
       "      <td>53.26</td>\n",
       "      <td>24.44</td>\n",
       "      <td>29.38</td>\n",
       "      <td>11.25</td>\n",
       "      <td>72.71</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>3 rows × 85 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 black  white  blue  brown   gray  orange  red  yellow  \\\n",
       "german+shepherd  43.54  15.88   5.0  54.16  26.82    3.12  2.5    0.38   \n",
       "collie           10.13  41.37   0.0  47.27   3.75    8.00  0.5    0.00   \n",
       "dalmatian        69.58  73.33   0.0   6.39   0.00    0.00  0.0    0.00   \n",
       "\n",
       "                 patches   spots  ...  water  tree  cave  fierce  timid  \\\n",
       "german+shepherd    48.78   11.59  ...   3.75  0.00   2.5   57.44  10.00   \n",
       "collie             37.00    9.09  ...   0.00  0.00   0.0    5.25  43.09   \n",
       "dalmatian          37.08  100.00  ...   1.25  6.25   0.0    9.38  31.67   \n",
       "\n",
       "                 smart  group  solitary  nestspot  domestic  \n",
       "german+shepherd  57.53  12.50     35.11     16.53     68.55  \n",
       "collie           42.17   0.62     45.99     18.57     79.11  \n",
       "dalmatian        53.26  24.44     29.38     11.25     72.71  \n",
       "\n",
       "[3 rows x 85 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "feature_names=pd.read_fwf(\"data/predicates.txt\", header=None)[1].values\n",
    "classes_features = pd.DataFrame(data = samples_features, columns = feature_names)\n",
    "classes_features.index = classes\n",
    "classes_features.loc[['german+shepherd', 'collie', 'dalmatian'], :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "scaler = StandardScaler()\n",
    "samples_features = scaler.fit_transform(samples_features)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10,10));\n",
    "\n",
    "# cluster_link array (contains the hierarchical clustering information)\n",
    "cluster_link = linkage(samples_features, method='ward');\n",
    "\n",
    "dendrogram(cluster_link, orientation=\"right\", labels=classes);\n",
    "plt.savefig('images/hierarchicalClustering.png', dpi = 300)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The dendrogram seems to make some intuitive sense. The grouping of polar and grizzly bears together plus the other hierarchical relationships makes this an intriguing option </h2>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### YouTube Thumbnail Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x648 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Creating a figure and axes with specified size and white background\n",
    "fig, ax = plt.subplots(nrows=1, ncols=1, figsize=(16, 9), facecolor='white')\n",
    "\n",
    "# Generate the linkage matrix using 'ward' method\n",
    "cluster_link = linkage(samples_features, method='ward')\n",
    "\n",
    "# Create a dendrogram and set its orientation to right\n",
    "dendrogram(cluster_link, orientation=\"right\", labels=classes, ax=ax)\n",
    "\n",
    "# Hierarchical Clustering Dendrogram\n",
    "ax.set_title('Hierarchical Clustering Dendrogram', fontsize = 48)\n",
    "ax.tick_params(labelsize = 12)\n",
    "ax.set_ylabel('Animals', fontsize = 30)\n",
    "ax.set_xlabel('Variance (Ward\\'s Method)', fontsize = 30)\n",
    "\n",
    "# Adjust layout for better fit\n",
    "fig.tight_layout()\n",
    "#fig.savefig('HierarchicalClusteringDendrogram.png', dpi = 950)"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
